893938320 has 360 divisors, whose sum is σ = 3416614656. Its totient is φ = 209088000.

The previous prime is 893938301. The next prime is 893938327. The reversal of 893938320 is 23839398.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (893938327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2700555 + ... + 2700885.

Almost surely, 2^893938320 is an apocalyptic number.

893938320 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 893938320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708307328).

893938320 is an abundant number, since it is smaller than the sum of its proper divisors (2522676336).

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

893938320 is a wasteful number, since it uses less digits than its factorization.

893938320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 893938320 is about 29898.8013137651. The cubic root of 893938320 is about 963.3169119005.

The spelling of 893938320 in words is "eight hundred ninety-three million, nine hundred thirty-eight thousand, three hundred twenty".