656261424 has 240 divisors, whose sum is σ = 2300311104. Its totient is φ = 170035200.

The previous prime is 656261407. The next prime is 656261429. The reversal of 656261424 is 424162656.

656261424 is a `hidden beast` number, since 6 + 5 + 626 + 1 + 4 + 24 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (656261429) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 798934 + ... + 799754.

Almost surely, 2^656261424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 656261424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150155552).

656261424 is an abundant number, since it is smaller than the sum of its proper divisors (1644049680).

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

656261424 is a wasteful number, since it uses less digits than its factorization.

656261424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 907 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 656261424 is about 25617.5998875773. The cubic root of 656261424 is about 869.0117037483.

The spelling of 656261424 in words is "six hundred fifty-six million, two hundred sixty-one thousand, four hundred twenty-four".