893304960 has 128 divisors (see below), whose sum is σ = 2887954560. Its totient is φ = 234823680.

The previous prime is 893304953. The next prime is 893305043. The reversal of 893304960 is 69403398.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133044 + ... + 139596.

It is an arithmetic number, because the mean of its divisors is an integer number (22562145).

Almost surely, 2^893304960 is an apocalyptic number.

893304960 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 893304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443977280).

893304960 is an abundant number, since it is smaller than the sum of its proper divisors (1994649600).

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

893304960 is a wasteful number, since it uses less digits than its factorization.

893304960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6646 (or 6634 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 893304960 is about 29888.2077080577. The cubic root of 893304960 is about 963.0893531175.

The spelling of 893304960 in words is "eight hundred ninety-three million, three hundred four thousand, nine hundred sixty".