113393664 has 90 divisors (see below), whose sum is σ = 327997670. Its totient is φ = 37748736.

The previous prime is 113393639. The next prime is 113393711. The reversal of 113393664 is 466393311.

It can be written as a sum of positive squares in only one way, i.e., 92160000 + 21233664 = 9600^2 + 4608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147072 + ... + 147840.

Almost surely, 2^113393664 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 113393664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163998835).

113393664 is an abundant number, since it is smaller than the sum of its proper divisors (214604006).

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

113393664 is an frugal number, since it uses more digits than its factorization.

113393664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 774 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 113393664 is about 10648.6461111261. The cubic root of 113393664 is about 484.0195789270.

The spelling of 113393664 in words is "one hundred thirteen million, three hundred ninety-three thousand, six hundred sixty-four".