112965768 has 24 divisors (see below), whose sum is σ = 305949150. Its totient is φ = 37655232.

The previous prime is 112965751. The next prime is 112965791. The reversal of 112965768 is 867569211.

It can be written as a sum of positive squares in only one way, i.e., 90668484 + 22297284 = 9522^2 + 4722^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×112965768² = 25522529479659648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 784413 + ... + 784556.

Almost surely, 2^112965768 is an apocalyptic number.

112965768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

112965768 is an abundant number, since it is smaller than the sum of its proper divisors (192983382).

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

112965768 is a wasteful number, since it uses less digits than its factorization.

112965768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568981 (or 1568974 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 112965768 is about 10628.5355529348. The cubic root of 112965768 is about 483.4099884234.

The spelling of 112965768 in words is "one hundred twelve million, nine hundred sixty-five thousand, seven hundred sixty-eight".