112296960 has 132 divisors (see below), whose sum is σ = 389265708. Its totient is φ = 29933568.

The previous prime is 112296953. The next prime is 112296967. The reversal of 112296960 is 69692211.

It is an interprime number because it is at equal distance from previous prime (112296953) and next prime (112296967).

It can be written as a sum of positive squares in 2 ways, for example, as 78004224 + 34292736 = 8832^2 + 5856^2 .

It is a super-2 number, since 2×112296960² = 25221214450483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112296967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44862 + ... + 47298.

Almost surely, 2^112296960 is an apocalyptic number.

112296960 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 112296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194632854).

112296960 is an abundant number, since it is smaller than the sum of its proper divisors (276968748).

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

112296960 is a wasteful number, since it uses less digits than its factorization.

112296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 112296960 is about 10597.0259978921. The cubic root of 112296960 is about 482.4540982043.

The spelling of 112296960 in words is "one hundred twelve million, two hundred ninety-six thousand, nine hundred sixty".