652256640 has 288 divisors, whose sum is σ = 2621183760. Its totient is φ = 149022720.

The previous prime is 652256611. The next prime is 652256651. The reversal of 652256640 is 46652256.

652256640 is a `hidden beast` number, since 6 + 5 + 2 + 2 + 5 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 652256595 and 652256604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 281085 + ... + 283395.

Almost surely, 2^652256640 is an apocalyptic number.

652256640 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 652256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310591880).

652256640 is an abundant number, since it is smaller than the sum of its proper divisors (1968927120).

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

652256640 is a wasteful number, since it uses less digits than its factorization.

652256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 652256640 is about 25539.3155742279. The cubic root of 652256640 is about 867.2404037946.

The spelling of 652256640 in words is "six hundred fifty-two million, two hundred fifty-six thousand, six hundred forty".