112693680 has 480 divisors, whose sum is σ = 467970048. Its totient is φ = 24883200.

The previous prime is 112693643. The next prime is 112693687. The reversal of 112693680 is 86396211.

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 (112693687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3635265 + ... + 3635295.

Almost surely, 2^112693680 is an apocalyptic number.

112693680 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 112693680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233985024).

112693680 is an abundant number, since it is smaller than the sum of its proper divisors (355276368).

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

112693680 is a wasteful number, since it uses less digits than its factorization.

112693680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 112693680 is about 10615.7279543138. The cubic root of 112693680 is about 483.0215645632.

The spelling of 112693680 in words is "one hundred twelve million, six hundred ninety-three thousand, six hundred eighty".