113527936 has 64 divisors (see below), whose sum is σ = 234420480. Its totient is φ = 54734848.

The previous prime is 113527903. The next prime is 113527937. The reversal of 113527936 is 639725311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 113527895 and 113527904.

It is not an unprimeable number, because it can be changed into a prime (113527937) 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, 679725 + ... + 679891.

It is an arithmetic number, because the mean of its divisors is an integer number (3662820).

Almost surely, 2^113527936 is an apocalyptic number.

113527936 is a gapful number since it is divisible by the number (16) 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 113527936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117210240).

113527936 is an abundant number, since it is smaller than the sum of its proper divisors (120892544).

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

113527936 is a wasteful number, since it uses less digits than its factorization.

113527936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 329 counting only the distinct ones).

The product of its digits is 34020, while the sum is 37.

The square root of 113527936 is about 10654.9488971088. The cubic root of 113527936 is about 484.2105497430.

The spelling of 113527936 in words is "one hundred thirteen million, five hundred twenty-seven thousand, nine hundred thirty-six".