652764000 has 384 divisors, whose sum is σ = 2578867200. Its totient is φ = 141004800.

The previous prime is 652763999. The next prime is 652764043. The reversal of 652764000 is 467256.

It is a super-2 number, since 2×652764000² = 852201679392000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1595796 + ... + 1596204.

It is an arithmetic number, because the mean of its divisors is an integer number (6715800).

Almost surely, 2^652764000 is an apocalyptic number.

652764000 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 652764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289433600).

652764000 is an abundant number, since it is smaller than the sum of its proper divisors (1926103200).

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

652764000 is a wasteful number, since it uses less digits than its factorization.

652764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 652764000 is about 25549.2465642336. The cubic root of 652764000 is about 867.4652074622.

The spelling of 652764000 in words is "six hundred fifty-two million, seven hundred sixty-four thousand".