623638080 has 168 divisors, whose sum is σ = 2310198072. Its totient is φ = 153501696.

The previous prime is 623638079. The next prime is 623638109. The reversal of 623638080 is 80836326.

It can be written as a sum of positive squares in 4 ways, for example, as 137170944 + 486467136 = 11712^2 + 22056^2 .

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 23 ways as a sum of consecutive naturals, for example, 29112 + ... + 45768.

It is an arithmetic number, because the mean of its divisors is an integer number (13751179).

Almost surely, 2^623638080 is an apocalyptic number.

623638080 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 623638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155099036).

623638080 is an abundant number, since it is smaller than the sum of its proper divisors (1686559992).

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

623638080 is a wasteful number, since it uses less digits than its factorization.

623638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16693 (or 16680 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 623638080 is about 24972.7467452021. The cubic root of 623638080 is about 854.3664949198.

The spelling of 623638080 in words is "six hundred twenty-three million, six hundred thirty-eight thousand, eighty".