8660400 has 120 divisors (see below), whose sum is σ = 31736064. Its totient is φ = 1977600.

The previous prime is 8660387. The next prime is 8660401. The reversal of 8660400 is 40668.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (8660401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7885 + ... + 8915.

Almost surely, 2^8660400 is an apocalyptic number.

8660400 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 8660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15868032).

8660400 is an abundant number, since it is smaller than the sum of its proper divisors (23075664).

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

8660400 is a wasteful number, since it uses less digits than its factorization.

8660400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1048 counting only the distinct ones).

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

The square root of 8660400 is about 2942.8557558943. The cubic root of 8660400 is about 205.3584843913.

The spelling of 8660400 in words is "eight million, six hundred sixty thousand, four hundred".