652538880 has 594 divisors, whose sum is σ = 2793995334. Its totient is φ = 140378112.

The previous prime is 652538867. The next prime is 652538891. The reversal of 652538880 is 88835256.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 218566656 + 433972224 = 14784^2 + 20832^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 38384632 + ... + 38384648.

Almost surely, 2^652538880 is an apocalyptic number.

652538880 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 652538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396997667).

652538880 is an abundant number, since it is smaller than the sum of its proper divisors (2141456454).

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

652538880 is a wasteful number, since it uses less digits than its factorization.

652538880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 652538880 is about 25544.8405749576. The cubic root of 652538880 is about 867.3654745209.

Multiplying 652538880 by its sum of digits (45), we get a square (29364249600 = 171360²).

652538880 divided by its sum of digits (45) gives a square (14500864 = 3808²).

The spelling of 652538880 in words is "six hundred fifty-two million, five hundred thirty-eight thousand, eight hundred eighty".