113366560 has 48 divisors (see below), whose sum is σ = 269594136. Its totient is φ = 45047808.

The previous prime is 113366551. The next prime is 113366567. The reversal of 113366560 is 65663311.

It can be written as a sum of positive squares in 4 ways, for example, as 38093584 + 75272976 = 6172^2 + 8676^2 .

It is not an unprimeable number, because it can be changed into a prime (113366567) 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 7 ways as a sum of consecutive naturals, for example, 22864 + ... + 27376.

Almost surely, 2^113366560 is an apocalyptic number.

113366560 is a gapful number since it is divisible by the number (10) 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 113366560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134797068).

113366560 is an abundant number, since it is smaller than the sum of its proper divisors (156227576).

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

113366560 is a wasteful number, since it uses less digits than its factorization.

113366560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4685 (or 4677 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 113366560 is about 10647.3733850185. The cubic root of 113366560 is about 483.9810114810.

The spelling of 113366560 in words is "one hundred thirteen million, three hundred sixty-six thousand, five hundred sixty".