652581072 has 360 divisors, whose sum is σ = 2245154912. Its totient is φ = 175633920.

The previous prime is 652581067. The next prime is 652581101. The reversal of 652581072 is 270185256.

It is a happy number.

652581072 is a `hidden beast` number, since 6 + 5 + 2 + 581 + 0 + 72 = 666.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9739983 + ... + 9740049.

Almost surely, 2^652581072 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 652581072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122577456).

652581072 is an abundant number, since it is smaller than the sum of its proper divisors (1592573840).

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

652581072 is a wasteful number, since it uses less digits than its factorization.

652581072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 652581072 is about 25545.6664035214. Note that the first 3 decimals coincide. The cubic root of 652581072 is about 867.3841682195.

The spelling of 652581072 in words is "six hundred fifty-two million, five hundred eighty-one thousand, seventy-two".