113777664 has 352 divisors, whose sum is σ = 418177536. Its totient is φ = 26542080.

The previous prime is 113777639. The next prime is 113777669. The reversal of 113777664 is 466777311.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113777669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3075054 + ... + 3075090.

Almost surely, 2^113777664 is an apocalyptic number.

113777664 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 113777664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209088768).

113777664 is an abundant number, since it is smaller than the sum of its proper divisors (304399872).

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

113777664 is a wasteful number, since it uses less digits than its factorization.

113777664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 73 counting only the distinct ones).

The product of its digits is 148176, while the sum is 42.

The square root of 113777664 is about 10666.6613333320. The cubic root of 113777664 is about 484.5653299000.

It can be divided in two parts, 113 and 777664, that added together give a palindrome (777777).

The spelling of 113777664 in words is "one hundred thirteen million, seven hundred seventy-seven thousand, six hundred sixty-four".