112890960 has 240 divisors, whose sum is σ = 466886784. Its totient is φ = 23804928.

The previous prime is 112890941. The next prime is 112890971. The reversal of 112890960 is 69098211.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64659 + ... + 66381.

Almost surely, 2^112890960 is an apocalyptic number.

112890960 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 112890960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233443392).

112890960 is an abundant number, since it is smaller than the sum of its proper divisors (353995824).

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

112890960 is a wasteful number, since it uses less digits than its factorization.

112890960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 112890960 is about 10625.0157646942. The cubic root of 112890960 is about 483.3032572116.

The spelling of 112890960 in words is "one hundred twelve million, eight hundred ninety thousand, nine hundred sixty".