6372864 has 80 divisors (see below), whose sum is σ = 18905040. Its totient is φ = 2119680.

The previous prime is 6372781. The next prime is 6372869. The reversal of 6372864 is 4682736.

It is a super-2 number, since 2×6372864² = 81226791124992, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6372869) 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, 13594 + ... + 14054.

It is an arithmetic number, because the mean of its divisors is an integer number (236313).

Almost surely, 2^6372864 is an apocalyptic number.

6372864 is a gapful number since it is divisible by the number (64) 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 6372864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9452520).

6372864 is an abundant number, since it is smaller than the sum of its proper divisors (12532176).

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

6372864 is an equidigital number, since it uses as much as digits as its factorization.

6372864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 466 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 6372864 is about 2524.4532081225. The cubic root of 6372864 is about 185.4007771147.

It can be divided in two parts, 63 and 72864, that added together give a palindrome (72927).

The spelling of 6372864 in words is "six million, three hundred seventy-two thousand, eight hundred sixty-four".