112965864 has 64 divisors (see below), whose sum is σ = 309450240. Its totient is φ = 34080960.

The previous prime is 112965851. The next prime is 112965883. The reversal of 112965864 is 468569211.

It is a super-2 number, since 2×112965864² = 25522572858532992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68619 + ... + 70245.

It is an arithmetic number, because the mean of its divisors is an integer number (4835160).

Almost surely, 2^112965864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112965864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154725120).

112965864 is an abundant number, since it is smaller than the sum of its proper divisors (196484376).

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

112965864 is a wasteful number, since it uses less digits than its factorization.

112965864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1906 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 112965864 is about 10628.5400690782. The cubic root of 112965864 is about 483.4101253597.

The spelling of 112965864 in words is "one hundred twelve million, nine hundred sixty-five thousand, eight hundred sixty-four".