893664 has 72 divisors (see below), whose sum is σ = 2653560. Its totient is φ = 284928.

The previous prime is 893657. The next prime is 893671. The reversal of 893664 is 466398.

893664 = T₇₂ + T₇₃ + ... + T₁₇₈.

It is an interprime number because it is at equal distance from previous prime (893657) and next prime (893671).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 893664.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8299 + ... + 8405.

It is an arithmetic number, because the mean of its divisors is an integer number (36855).

2⁸⁹³⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 893664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326780).

893664 is an abundant number, since it is smaller than the sum of its proper divisors (1759896).

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

893664 is a wasteful number, since it uses less digits than its factorization.

893664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 893664 is about 945.3380347791. The cubic root of 893664 is about 96.3218365157.

The spelling of 893664 in words is "eight hundred ninety-three thousand, six hundred sixty-four".