623528080 has 80 divisors (see below), whose sum is σ = 1660608000. Its totient is φ = 213290496.

The previous prime is 623528071. The next prime is 623528083. The reversal of 623528080 is 80825326.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×623528080³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (623528083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310921 + ... + 312919.

It is an arithmetic number, because the mean of its divisors is an integer number (20757600).

Almost surely, 2^623528080 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 623528080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830304000).

623528080 is an abundant number, since it is smaller than the sum of its proper divisors (1037079920).

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

623528080 is a wasteful number, since it uses less digits than its factorization.

623528080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 623528080 is about 24970.5442471725. The cubic root of 623528080 is about 854.3162596719.

The spelling of 623528080 in words is "six hundred twenty-three million, five hundred twenty-eight thousand, eighty".