112696864 has 72 divisors (see below), whose sum is σ = 264541788. Its totient is φ = 47093760.

The previous prime is 112696817. The next prime is 112696877. The reversal of 112696864 is 468696211.

It can be written as a sum of positive squares in 2 ways, for example, as 77792400 + 34904464 = 8820^2 + 5908^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 112696864.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63412 + ... + 65164.

Almost surely, 2^112696864 is an apocalyptic number.

112696864 is a gapful number since it is divisible by the number (14) 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 112696864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132270894).

112696864 is an abundant number, since it is smaller than the sum of its proper divisors (151844924).

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

112696864 is a wasteful number, since it uses less digits than its factorization.

112696864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1803 counting only the distinct ones).

The product of its digits is 124416, while the sum is 43.

The square root of 112696864 is about 10615.8779194186. The cubic root of 112696864 is about 483.0261135500.

The spelling of 112696864 in words is "one hundred twelve million, six hundred ninety-six thousand, eight hundred sixty-four".