368893056 has 256 divisors, whose sum is σ = 1222041600. Its totient is φ = 96215040.

The previous prime is 368893027. The next prime is 368893061. The reversal of 368893056 is 650398863.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 368892996 and 368893014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1583116 + ... + 1583348.

It is an arithmetic number, because the mean of its divisors is an integer number (4773600).

Almost surely, 2^368893056 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 368893056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611020800).

368893056 is an abundant number, since it is smaller than the sum of its proper divisors (853148544).

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

368893056 is a wasteful number, since it uses less digits than its factorization.

368893056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 368893056 is about 19206.5888694479. The cubic root of 368893056 is about 717.1887911283.

The spelling of 368893056 in words is "three hundred sixty-eight million, eight hundred ninety-three thousand, fifty-six".