115638480 has 120 divisors (see below), whose sum is σ = 405295488. Its totient is φ = 29491968.

The previous prime is 115638443. The next prime is 115638487. The reversal of 115638480 is 84836511.

115638480 is a `hidden beast` number, since 1 + 15 + 638 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×115638480³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115638487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13069 + ... + 20051.

Almost surely, 2^115638480 is an apocalyptic number.

115638480 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 115638480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202647744).

115638480 is an abundant number, since it is smaller than the sum of its proper divisors (289657008).

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

115638480 is a wasteful number, since it uses less digits than its factorization.

115638480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7025 (or 7016 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 115638480 is about 10753.5333728036. The cubic root of 115638480 is about 487.1927215459.

The spelling of 115638480 in words is "one hundred fifteen million, six hundred thirty-eight thousand, four hundred eighty".