893439120 has 160 divisors (see below), whose sum is σ = 3184081920. Its totient is φ = 203005440.

The previous prime is 893439119. The next prime is 893439137. The reversal of 893439120 is 21934398.

It is a super-2 number, since 2×893439120² = 1596466922292748800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299235 + ... + 302205.

It is an arithmetic number, because the mean of its divisors is an integer number (19900512).

Almost surely, 2^893439120 is an apocalyptic number.

893439120 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 893439120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592040960).

893439120 is an abundant number, since it is smaller than the sum of its proper divisors (2290642800).

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

893439120 is a wasteful number, since it uses less digits than its factorization.

893439120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173 (or 3167 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 893439120 is about 29890.4519872149. The cubic root of 893439120 is about 963.1375642009.

The spelling of 893439120 in words is "eight hundred ninety-three million, four hundred thirty-nine thousand, one hundred twenty".