893248320 has 56 divisors (see below), whose sum is σ = 2836066464. Its totient is φ = 238199296.

The previous prime is 893248253. The next prime is 893248327. The reversal of 893248320 is 23842398.

893248320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×893248320² = 1595785122365644800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (893248327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 464274 + ... + 466193.

It is an arithmetic number, because the mean of its divisors is an integer number (50644044).

Almost surely, 2^893248320 is an apocalyptic number.

893248320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

893248320 is an abundant number, since it is smaller than the sum of its proper divisors (1942818144).

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

893248320 is a wasteful number, since it uses less digits than its factorization.

893248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930487 (or 930477 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 893248320 is about 29887.2601621494. The cubic root of 893248320 is about 963.0689977941.

The spelling of 893248320 in words is "eight hundred ninety-three million, two hundred forty-eight thousand, three hundred twenty".