1113567840 has 576 divisors, whose sum is σ = 4834432512. Its totient is φ = 228602880.

The previous prime is 1113567823. The next prime is 1113567841. The reversal of 1113567840 is 487653111.

1113567840 is a `hidden beast` number, since 1 + 1 + 13 + 567 + 84 + 0 = 666.

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 = 1113567795 and 1113567804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113567841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13416439 + ... + 13416521.

It is an arithmetic number, because the mean of its divisors is an integer number (8393112).

Almost surely, 2^1113567840 is an apocalyptic number.

1113567840 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 1113567840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417216256).

1113567840 is an abundant number, since it is smaller than the sum of its proper divisors (3720864672).

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

1113567840 is a wasteful number, since it uses less digits than its factorization.

1113567840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1113567840 is about 33370.1639192857. The cubic root of 1113567840 is about 1036.5069695149.

The spelling of 1113567840 in words is "one billion, one hundred thirteen million, five hundred sixty-seven thousand, eight hundred forty".