115456640 has 64 divisors (see below), whose sum is σ = 297266760. Its totient is φ = 42627072.

The previous prime is 115456633. The next prime is 115456661. The reversal of 115456640 is 46654511.

It can be written as a sum of positive squares in 4 ways, for example, as 43138624 + 72318016 = 6568^2 + 8504^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 115456597 and 115456606.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1382 + ... + 15258.

Almost surely, 2^115456640 is an apocalyptic number.

115456640 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 115456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148633380).

115456640 is an abundant number, since it is smaller than the sum of its proper divisors (181810120).

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

115456640 is a wasteful number, since it uses less digits than its factorization.

115456640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13909 (or 13897 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 115456640 is about 10745.0751509703. The cubic root of 115456640 is about 486.9372195100.

The spelling of 115456640 in words is "one hundred fifteen million, four hundred fifty-six thousand, six hundred forty".