115616400 has 240 divisors, whose sum is σ = 398545920. Its totient is φ = 28582400.

The previous prime is 115616393. The next prime is 115616407. The reversal of 115616400 is 4616511.

It is an interprime number because it is at equal distance from previous prime (115616393) and next prime (115616407).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115616407) 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 47 ways as a sum of consecutive naturals, for example, 1628365 + ... + 1628435.

It is an arithmetic number, because the mean of its divisors is an integer number (1660608).

Almost surely, 2^115616400 is an apocalyptic number.

115616400 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 115616400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199272960).

115616400 is an abundant number, since it is smaller than the sum of its proper divisors (282929520).

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

115616400 is a wasteful number, since it uses less digits than its factorization.

115616400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 115616400 is about 10752.5066844899. The cubic root of 115616400 is about 487.1617113954.

The spelling of 115616400 in words is "one hundred fifteen million, six hundred sixteen thousand, four hundred".