113329608 has 64 divisors (see below), whose sum is σ = 327936000. Its totient is φ = 31966272.

The previous prime is 113329607. The next prime is 113329609. The reversal of 113329608 is 806923311.

It is an interprime number because it is at equal distance from previous prime (113329607) and next prime (113329609).

It is not an unprimeable number, because it can be changed into a prime (113329607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9003 + ... + 17541.

It is an arithmetic number, because the mean of its divisors is an integer number (5124000).

Almost surely, 2^113329608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113329608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163968000).

113329608 is an abundant number, since it is smaller than the sum of its proper divisors (214606392).

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

113329608 is a wasteful number, since it uses less digits than its factorization.

113329608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8634 (or 8630 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 113329608 is about 10645.6379799428. The cubic root of 113329608 is about 483.9284209881.

The spelling of 113329608 in words is "one hundred thirteen million, three hundred twenty-nine thousand, six hundred eight".