112696320 has 352 divisors, whose sum is σ = 424465920. Its totient is φ = 25231360.

The previous prime is 112696307. The next prime is 112696333. The reversal of 112696320 is 23696211.

It is an interprime number because it is at equal distance from previous prime (112696307) and next prime (112696333).

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3886066 + ... + 3886094.

Almost surely, 2^112696320 is an apocalyptic number.

112696320 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 112696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212232960).

112696320 is an abundant number, since it is smaller than the sum of its proper divisors (311769600).

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

112696320 is a wasteful number, since it uses less digits than its factorization.

112696320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 112696320 is about 10615.8522973900. The cubic root of 112696320 is about 483.0253363422.

The spelling of 112696320 in words is "one hundred twelve million, six hundred ninety-six thousand, three hundred twenty".