1112379840 has 672 divisors, whose sum is σ = 4679752896. Its totient is φ = 238878720.

The previous prime is 1112379839. The next prime is 1112379841. The reversal of 1112379840 is 489732111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1112379839) and next prime (1112379841).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1112379795 and 1112379804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112379841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15238044 + ... + 15238116.

It is an arithmetic number, because the mean of its divisors is an integer number (6963918).

Almost surely, 2^1112379840 is an apocalyptic number.

1112379840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339876448).

1112379840 is an abundant number, since it is smaller than the sum of its proper divisors (3567373056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1112379840 is a wasteful number, since it uses less digits than its factorization.

1112379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1112379840 is about 33352.3588371198. The cubic root of 1112379840 is about 1036.1382422620.

The spelling of 1112379840 in words is "one billion, one hundred twelve million, three hundred seventy-nine thousand, eight hundred forty".