115036064 has 96 divisors (see below), whose sum is σ = 277893504. Its totient is φ = 46126080.

The previous prime is 115036063. The next prime is 115036079. The reversal of 115036064 is 460630511.

It is a super-2 number, since 2×115036064² = 26466592041224192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) 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 (26).

It is not an unprimeable number, because it can be changed into a prime (115036063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104702 + ... + 105794.

It is an arithmetic number, because the mean of its divisors is an integer number (2894724).

Almost surely, 2^115036064 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 115036064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138946752).

115036064 is an abundant number, since it is smaller than the sum of its proper divisors (162857440).

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

115036064 is a wasteful number, since it uses less digits than its factorization.

115036064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 115036064 is about 10725.4866556255. The cubic root of 115036064 is about 486.3452417725.

Adding to 115036064 its reverse (460630511), we get a palindrome (575666575).

It can be divided in two parts, 1150 and 36064, that multiplied together give a square (41473600 = 6440²).

The spelling of 115036064 in words is "one hundred fifteen million, thirty-six thousand, sixty-four".