113627760 has 80 divisors (see below), whose sum is σ = 358932384. Its totient is φ = 29725696.

The previous prime is 113627753. The next prime is 113627783. The reversal of 113627760 is 67726311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×113627760² = 25822535685235200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 8254 + ... + 17186.

Almost surely, 2^113627760 is an apocalyptic number.

113627760 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 113627760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179466192).

113627760 is an abundant number, since it is smaller than the sum of its proper divisors (245304624).

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

113627760 is a wasteful number, since it uses less digits than its factorization.

113627760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9002 (or 8996 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 113627760 is about 10659.6322638260. The cubic root of 113627760 is about 484.3524286950.

The spelling of 113627760 in words is "one hundred thirteen million, six hundred twenty-seven thousand, seven hundred sixty".