623536128 has 72 divisors (see below), whose sum is σ = 1800940050. Its totient is φ = 207839232.

The previous prime is 623536097. The next prime is 623536157. The reversal of 623536128 is 821635326.

It is a happy number.

623536128 is a `hidden beast` number, since 6 + 2 + 35 + 3 + 612 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 474891264 + 148644864 = 21792^2 + 12192^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 623536092 and 623536101.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1518 + ... + 35346.

Almost surely, 2^623536128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 623536128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900470025).

623536128 is an abundant number, since it is smaller than the sum of its proper divisors (1177403922).

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

623536128 is a wasteful number, since it uses less digits than its factorization.

623536128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33857 (or 33834 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 623536128 is about 24970.7053965241. The cubic root of 623536128 is about 854.3199352656.

The spelling of 623536128 in words is "six hundred twenty-three million, five hundred thirty-six thousand, one hundred twenty-eight".