623825664 has 324 divisors, whose sum is σ = 2138387832. Its totient is φ = 160849920.

The previous prime is 623825627. The next prime is 623825669. The reversal of 623825664 is 466528326.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (414720) is a multiple of the sum of its prime divisors (160).

It is not an unprimeable number, because it can be changed into a prime (623825669) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4553404 + ... + 4553540.

Almost surely, 2^623825664 is an apocalyptic number.

623825664 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 623825664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069193916).

623825664 is an abundant number, since it is smaller than the sum of its proper divisors (1514562168).

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

623825664 is a wasteful number, since it uses less digits than its factorization.

623825664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 160 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 623825664 is about 24976.5022371028. The cubic root of 623825664 is about 854.4521479204.

The spelling of 623825664 in words is "six hundred twenty-three million, eight hundred twenty-five thousand, six hundred sixty-four".