652354560 has 660 divisors, whose sum is σ = 2767159164. Its totient is φ = 145981440.

The previous prime is 652354559. The next prime is 652354601. The reversal of 652354560 is 65453256.

It is a happy number.

652354560 is a `hidden beast` number, since 6 + 52 + 3 + 545 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 160579584 + 491774976 = 12672^2 + 22176^2 .

It is a tau number, because it is divible by the number of its divisors (660).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 50181114 + ... + 50181126.

Almost surely, 2^652354560 is an apocalyptic number.

652354560 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 652354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383579582).

652354560 is an abundant number, since it is smaller than the sum of its proper divisors (2114804604).

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

652354560 is a wasteful number, since it uses less digits than its factorization.

652354560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 652354560 is about 25541.2325466098. The cubic root of 652354560 is about 867.2837997659.

The spelling of 652354560 in words is "six hundred fifty-two million, three hundred fifty-four thousand, five hundred sixty".