893974320 has 400 divisors, whose sum is σ = 3354294240. Its totient is φ = 219967488.

The previous prime is 893974273. The next prime is 893974363. The reversal of 893974320 is 23479398.

It is a happy number.

893974320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6525292 + ... + 6525428.

Almost surely, 2^893974320 is an apocalyptic number.

893974320 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 893974320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677147120).

893974320 is an abundant number, since it is smaller than the sum of its proper divisors (2460319920).

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

893974320 is a wasteful number, since it uses less digits than its factorization.

893974320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 893974320 is about 29899.4033385283. The cubic root of 893974320 is about 963.3298430474.

The spelling of 893974320 in words is "eight hundred ninety-three million, nine hundred seventy-four thousand, three hundred twenty".