115624600 has 96 divisors (see below), whose sum is σ = 330916320. Its totient is φ = 36587520.

The previous prime is 115624591. The next prime is 115624609. The reversal of 115624600 is 6426511.

It is an interprime number because it is at equal distance from previous prime (115624591) and next prime (115624609).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115624609) 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, 15024 + ... + 21376.

It is an arithmetic number, because the mean of its divisors is an integer number (3447045).

Almost surely, 2^115624600 is an apocalyptic number.

115624600 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 115624600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165458160).

115624600 is an abundant number, since it is smaller than the sum of its proper divisors (215291720).

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

115624600 is a wasteful number, since it uses less digits than its factorization.

115624600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6389 (or 6380 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 115624600 is about 10752.8879841650. The cubic root of 115624600 is about 487.1732283070.

The spelling of 115624600 in words is "one hundred fifteen million, six hundred twenty-four thousand, six hundred".