623575680 has 512 divisors, whose sum is σ = 2533386240. Its totient is φ = 126959616.

The previous prime is 623575679. The next prime is 623575681. The reversal of 623575680 is 86575326.

It is an interprime number because it is at equal distance from previous prime (623575679) and next prime (623575681).

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

It is not an unprimeable number, because it can be changed into a prime (623575681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7512919 + ... + 7513001.

It is an arithmetic number, because the mean of its divisors is an integer number (4948020).

Almost surely, 2^623575680 is an apocalyptic number.

623575680 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 623575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266693120).

623575680 is an abundant number, since it is smaller than the sum of its proper divisors (1909810560).

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

623575680 is a wasteful number, since it uses less digits than its factorization.

623575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 623575680 is about 24971.4973519811. The cubic root of 623575680 is about 854.3379985588.

The spelling of 623575680 in words is "six hundred twenty-three million, five hundred seventy-five thousand, six hundred eighty".