368800656 has 120 divisors (see below), whose sum is σ = 1146712320. Its totient is φ = 101719296.

The previous prime is 368800651. The next prime is 368800657. The reversal of 368800656 is 656008863.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (368800651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65505 + ... + 70911.

It is an arithmetic number, because the mean of its divisors is an integer number (9555936).

Almost surely, 2^368800656 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 368800656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573356160).

368800656 is an abundant number, since it is smaller than the sum of its proper divisors (777911664).

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

368800656 is a wasteful number, since it uses less digits than its factorization.

368800656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5461 (or 5448 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 368800656 is about 19204.1832942721. The cubic root of 368800656 is about 717.1289058608.

The spelling of 368800656 in words is "three hundred sixty-eight million, eight hundred thousand, six hundred fifty-six".