893827968 has 96 divisors (see below), whose sum is σ = 2609827080. Its totient is φ = 270842880.

The previous prime is 893827967. The next prime is 893827973. The reversal of 893827968 is 869728398.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (893827967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36846 + ... + 56082.

Almost surely, 2^893827968 is an apocalyptic number.

893827968 is a gapful number since it is divisible by the number (88) 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 893827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304913540).

893827968 is an abundant number, since it is smaller than the sum of its proper divisors (1715999112).

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

893827968 is a wasteful number, since it uses less digits than its factorization.

893827968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19276 (or 19253 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 60.

The square root of 893827968 is about 29896.9558316562. The cubic root of 893827968 is about 963.2772714615.

The spelling of 893827968 in words is "eight hundred ninety-three million, eight hundred twenty-seven thousand, nine hundred sixty-eight".