656364240 has 240 divisors, whose sum is σ = 2601071616. Its totient is φ = 145152000.

The previous prime is 656364239. The next prime is 656364251. The reversal of 656364240 is 42463656.

656364240 is a `hidden beast` number, since 6 + 5 + 6 + 3 + 642 + 4 + 0 = 666.

656364240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 656364195 and 656364204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154140 + ... + 158340.

Almost surely, 2^656364240 is an apocalyptic number.

656364240 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 656364240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300535808).

656364240 is an abundant number, since it is smaller than the sum of its proper divisors (1944707376).

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

656364240 is a wasteful number, since it uses less digits than its factorization.

656364240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4258 (or 4249 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 656364240 is about 25619.6065543560. The cubic root of 656364240 is about 869.0570838557.

The spelling of 656364240 in words is "six hundred fifty-six million, three hundred sixty-four thousand, two hundred forty".