113007664 has 80 divisors (see below), whose sum is σ = 282481920. Its totient is φ = 42497280.

The previous prime is 113007641. The next prime is 113007667. The reversal of 113007664 is 466700311.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (113007667) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34147 + ... + 37309.

It is an arithmetic number, because the mean of its divisors is an integer number (3531024).

Almost surely, 2^113007664 is an apocalyptic number.

113007664 is a gapful number since it is divisible by the number (14) 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 113007664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141240960).

113007664 is an abundant number, since it is smaller than the sum of its proper divisors (169474256).

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

113007664 is a wasteful number, since it uses less digits than its factorization.

113007664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218 (or 3212 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 113007664 is about 10630.5062908593. The cubic root of 113007664 is about 483.4697423412.

Adding to 113007664 its reverse (466700311), we get a palindrome (579707975).

The spelling of 113007664 in words is "one hundred thirteen million, seven thousand, six hundred sixty-four".