893056320 has 224 divisors, whose sum is σ = 3393277440. Its totient is φ = 219801600.

The previous prime is 893056319. The next prime is 893056327. The reversal of 893056320 is 23650398.

893056320 is a `hidden beast` number, since 8 + 93 + 0 + 563 + 2 + 0 = 666.

893056320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (893056327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108345 + ... + 116295.

It is an arithmetic number, because the mean of its divisors is an integer number (15148560).

Almost surely, 2^893056320 is an apocalyptic number.

893056320 is a gapful number since it is divisible by the number (80) 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 893056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696638720).

893056320 is an abundant number, since it is smaller than the sum of its proper divisors (2500221120).

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

893056320 is a wasteful number, since it uses less digits than its factorization.

893056320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7990 (or 7974 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 893056320 is about 29884.0479185802. The cubic root of 893056320 is about 962.9999902951. Note that the first 5 decimals are identical.

The spelling of 893056320 in words is "eight hundred ninety-three million, fifty-six thousand, three hundred twenty".