873664 has 56 divisors (see below), whose sum is σ = 2029968. Its totient is φ = 368640.

The previous prime is 873659. The next prime is 873667. The reversal of 873664 is 466378.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (873667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11932 + ... + 12004.

2⁸⁷³⁶⁶⁴ 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 873664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014984).

873664 is an abundant number, since it is smaller than the sum of its proper divisors (1156304).

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

873664 is a wasteful number, since it uses less digits than its factorization.

873664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 103 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 873664 is about 934.6999518562. The cubic root of 873664 is about 95.5978547980.

The spelling of 873664 in words is "eight hundred seventy-three thousand, six hundred sixty-four".