893712960 has 336 divisors, whose sum is σ = 3669304320. Its totient is φ = 204180480.

The previous prime is 893712907. The next prime is 893712973. The reversal of 893712960 is 69217398.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422305 + ... + 424415.

Almost surely, 2^893712960 is an apocalyptic number.

893712960 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 893712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834652160).

893712960 is an abundant number, since it is smaller than the sum of its proper divisors (2775591360).

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

893712960 is a wasteful number, since it uses less digits than its factorization.

893712960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 893712960 is about 29895.0323632539. The cubic root of 893712960 is about 963.2359550306.

The spelling of 893712960 in words is "eight hundred ninety-three million, seven hundred twelve thousand, nine hundred sixty".