115493664 has 192 divisors, whose sum is σ = 365783040. Its totient is φ = 31441920.

The previous prime is 115493663. The next prime is 115493669. The reversal of 115493664 is 466394511.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (115493663) 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 31 ways as a sum of consecutive naturals, for example, 645127 + ... + 645305.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 2^115493664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115493664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182891520).

115493664 is an abundant number, since it is smaller than the sum of its proper divisors (250289376).

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

115493664 is a wasteful number, since it uses less digits than its factorization.

115493664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 255 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 115493664 is about 10746.7978486617. The cubic root of 115493664 is about 486.9892633967.

The spelling of 115493664 in words is "one hundred fifteen million, four hundred ninety-three thousand, six hundred sixty-four".