893864880 has 240 divisors, whose sum is σ = 3186150240. Its totient is φ = 224570880.

The previous prime is 893864863. The next prime is 893864891. The reversal of 893864880 is 88468398.

893864880 is a `hidden beast` number, since 89 + 3 + 86 + 488 + 0 = 666.

893864880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4938390 + ... + 4938570.

It is an arithmetic number, because the mean of its divisors is an integer number (13275626).

Almost surely, 2^893864880 is an apocalyptic number.

893864880 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 893864880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593075120).

893864880 is an abundant number, since it is smaller than the sum of its proper divisors (2292285360).

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

893864880 is a wasteful number, since it uses less digits than its factorization.

893864880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 893864880 is about 29897.5731456585. The cubic root of 893864880 is about 963.2905312842.

The spelling of 893864880 in words is "eight hundred ninety-three million, eight hundred sixty-four thousand, eight hundred eighty".