390115656 has 384 divisors, whose sum is σ = 1378944000. Its totient is φ = 101606400.

The previous prime is 390115639. The next prime is 390115681. The reversal of 390115656 is 656511093.

390115656 is a `hidden beast` number, since 3 + 90 + 1 + 1 + 565 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 390115656.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 9514996 + ... + 9515036.

It is an arithmetic number, because the mean of its divisors is an integer number (3591000).

Almost surely, 2^390115656 is an apocalyptic number.

390115656 is a gapful number since it is divisible by the number (36) 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 390115656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472000).

390115656 is an abundant number, since it is smaller than the sum of its proper divisors (988828344).

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

390115656 is a wasteful number, since it uses less digits than its factorization.

390115656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 390115656 is about 19751.3456756749. The cubic root of 390115656 is about 730.6865724341.

The spelling of 390115656 in words is "three hundred ninety million, one hundred fifteen thousand, six hundred fifty-six".