652053600 has 216 divisors, whose sum is σ = 2508636312. Its totient is φ = 158054400.

The previous prime is 652053557. The next prime is 652053629. The reversal of 652053600 is 6350256.

652053600 is a `hidden beast` number, since 6 + 5 + 2 + 0 + 53 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 75084 + ... + 83316.

It is an arithmetic number, because the mean of its divisors is an integer number (11614057).

Almost surely, 2^652053600 is an apocalyptic number.

652053600 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 652053600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254318156).

652053600 is an abundant number, since it is smaller than the sum of its proper divisors (1856582712).

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

652053600 is a wasteful number, since it uses less digits than its factorization.

652053600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8270 (or 8254 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 652053600 is about 25535.3402170404. The cubic root of 652053600 is about 867.1504071302.

It can be divided in two parts, 652053 and 600, that added together give a triangular number (652653 = T₁₁₄₂).

The spelling of 652053600 in words is "six hundred fifty-two million, fifty-three thousand, six hundred".