115967040 has 112 divisors (see below), whose sum is σ = 420819072. Its totient is φ = 26505216.

The previous prime is 115967029. The next prime is 115967083. The reversal of 115967040 is 40769511.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 115966992 and 115967010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1909 + ... + 15348.

Almost surely, 2^115967040 is an apocalyptic number.

115967040 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 115967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210409536).

115967040 is an abundant number, since it is smaller than the sum of its proper divisors (304852032).

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

115967040 is a wasteful number, since it uses less digits than its factorization.

115967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17284 (or 17274 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 115967040 is about 10768.7993759750. The cubic root of 115967040 is about 487.6537003853.

The spelling of 115967040 in words is "one hundred fifteen million, nine hundred sixty-seven thousand, forty".