8664000 has 168 divisors, whose sum is σ = 30193488. Its totient is φ = 2188800.

The previous prime is 8663987. The next prime is 8664023. The reversal of 8664000 is 4668.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 455991 + ... + 456009.

Almost surely, 2^8664000 is an apocalyptic number.

8664000 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 8664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15096744).

8664000 is an abundant number, since it is smaller than the sum of its proper divisors (21529488).

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

8664000 is a wasteful number, since it uses less digits than its factorization.

8664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 8664000 is about 2943.4673431176. The cubic root of 8664000 is about 205.3869352761.

Adding to 8664000 its reverse (4668), we get a palindrome (8668668).

The spelling of 8664000 in words is "eight million, six hundred sixty-four thousand".