113720896 has 63 divisors (see below), whose sum is σ = 238728123. Its totient is φ = 53746560.

The previous prime is 113720819. The next prime is 113720903. The reversal of 113720896 is 698027311.

The square root of 113720896 is 10664.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2644651 + ... + 2644693.

Almost surely, 2^113720896 is an apocalyptic number.

113720896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

113720896 is the 10664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113720896

113720896 is an abundant number, since it is smaller than the sum of its proper divisors (125007227).

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

113720896 is an frugal number, since it uses more digits than its factorization.

113720896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The cubic root of 113720896 is about 484.4847271413.

The spelling of 113720896 in words is "one hundred thirteen million, seven hundred twenty thousand, eight hundred ninety-six".