115406640 has 240 divisors, whose sum is σ = 419660640. Its totient is φ = 29145600.

The previous prime is 115406633. The next prime is 115406671. The reversal of 115406640 is 46604511.

115406640 is a `hidden beast` number, since 1 + 15 + 4 + 0 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1142590 + ... + 1142690.

It is an arithmetic number, because the mean of its divisors is an integer number (1748586).

Almost surely, 2^115406640 is an apocalyptic number.

115406640 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 115406640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209830320).

115406640 is an abundant number, since it is smaller than the sum of its proper divisors (304254000).

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

115406640 is a wasteful number, since it uses less digits than its factorization.

115406640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 115406640 is about 10742.7482517278. The cubic root of 115406640 is about 486.8669178614.

The spelling of 115406640 in words is "one hundred fifteen million, four hundred six thousand, six hundred forty".