113368640 has 224 divisors, whose sum is σ = 347618304. Its totient is φ = 34191360.

The previous prime is 113368637. The next prime is 113368663. The reversal of 113368640 is 46863311.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 113368597 and 113368606.

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, 1059467 + ... + 1059573.

Almost surely, 2^113368640 is an apocalyptic number.

113368640 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 113368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173809152).

113368640 is an abundant number, since it is smaller than the sum of its proper divisors (234249664).

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

113368640 is a wasteful number, since it uses less digits than its factorization.

113368640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 113368640 is about 10647.4710612427. The cubic root of 113368640 is about 483.9839714201.

The spelling of 113368640 in words is "one hundred thirteen million, three hundred sixty-eight thousand, six hundred forty".