623209664 has 224 divisors, whose sum is σ = 1680155136. Its totient is φ = 221921280.

The previous prime is 623209651. The next prime is 623209667. The reversal of 623209664 is 466902326.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (623209667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3602282 + ... + 3602454.

Almost surely, 2^623209664 is an apocalyptic number.

623209664 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 623209664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840077568).

623209664 is an abundant number, since it is smaller than the sum of its proper divisors (1056945472).

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

623209664 is a wasteful number, since it uses less digits than its factorization.

623209664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 38.

The square root of 623209664 is about 24964.1676007833. The cubic root of 623209664 is about 854.1708108443.

The spelling of 623209664 in words is "six hundred twenty-three million, two hundred nine thousand, six hundred sixty-four".