115367616 has 336 divisors, whose sum is σ = 426037248. Its totient is φ = 29030400.

The previous prime is 115367599. The next prime is 115367617. The reversal of 115367616 is 616763511.

115367616 is a `hidden beast` number, since 1 + 1 + 5 + 36 + 7 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

Its product of digits (22680) is a multiple of the sum of its prime factors (140).

It is not an unprimeable number, because it can be changed into a prime (115367617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1624861 + ... + 1624931.

It is an arithmetic number, because the mean of its divisors is an integer number (1267968).

Almost surely, 2^115367616 is an apocalyptic number.

115367616 is a gapful number since it is divisible by the number (16) 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 115367616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213018624).

115367616 is an abundant number, since it is smaller than the sum of its proper divisors (310669632).

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

115367616 is a wasteful number, since it uses less digits than its factorization.

115367616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 127 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 115367616 is about 10740.9318031538. The cubic root of 115367616 is about 486.8120347209.

The spelling of 115367616 in words is "one hundred fifteen million, three hundred sixty-seven thousand, six hundred sixteen".