623064960 has 640 divisors, whose sum is σ = 2719189440. Its totient is φ = 132710400.

The previous prime is 623064907. The next prime is 623064991. The reversal of 623064960 is 69460326.

623064960 is a `hidden beast` number, since 6 + 2 + 3 + 0 + 649 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6168910 + ... + 6169010.

Almost surely, 2^623064960 is an apocalyptic number.

623064960 is a gapful number since it is divisible by the number (60) 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 623064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359594720).

623064960 is an abundant number, since it is smaller than the sum of its proper divisors (2096124480).

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

623064960 is a wasteful number, since it uses less digits than its factorization.

623064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 623064960 is about 24961.2691985003. The cubic root of 623064960 is about 854.1046953202.

The spelling of 623064960 in words is "six hundred twenty-three million, sixty-four thousand, nine hundred sixty".