113319680 has 72 divisors (see below), whose sum is σ = 273340032. Its totient is φ = 45010944.

The previous prime is 113319659. The next prime is 113319683. The reversal of 113319680 is 86913311.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113319683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285242 + ... + 285638.

Almost surely, 2^113319680 is an apocalyptic number.

113319680 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 113319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136670016).

113319680 is an abundant number, since it is smaller than the sum of its proper divisors (160020352).

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

113319680 is an equidigital number, since it uses as much as digits as its factorization.

113319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 113319680 is about 10645.1716754593. The cubic root of 113319680 is about 483.9142894010.

The spelling of 113319680 in words is "one hundred thirteen million, three hundred nineteen thousand, six hundred eighty".