893120256 has 324 divisors, whose sum is σ = 3117055032. Its totient is φ = 254306304.

The previous prime is 893120237. The next prime is 893120269. The reversal of 893120256 is 652021398.

It is a tau number, because it is divible by the number of its divisors (324).

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 893120256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3048046 + ... + 3048338.

Almost surely, 2^893120256 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 893120256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558527516).

893120256 is an abundant number, since it is smaller than the sum of its proper divisors (2223934776).

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

893120256 is an equidigital number, since it uses as much as digits as its factorization.

893120256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 893120256 is about 29885.1176340332. The cubic root of 893120256 is about 963.0229708906.

The spelling of 893120256 in words is "eight hundred ninety-three million, one hundred twenty thousand, two hundred fifty-six".