1107692040 has 384 divisors, whose sum is σ = 4272428160. Its totient is φ = 227598336.

The previous prime is 1107692023. The next prime is 1107692063. The reversal of 1107692040 is 402967011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1107691989 and 1107692007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3286752 + ... + 3287088.

It is an arithmetic number, because the mean of its divisors is an integer number (11126115).

Almost surely, 2^1107692040 is an apocalyptic number.

1107692040 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 1107692040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136214080).

1107692040 is an abundant number, since it is smaller than the sum of its proper divisors (3164736120).

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

1107692040 is a wasteful number, since it uses less digits than its factorization.

1107692040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 1107692040 is about 33282.0077519371. The cubic root of 1107692040 is about 1034.6806921840.

The spelling of 1107692040 in words is "one billion, one hundred seven million, six hundred ninety-two thousand, forty".