657164240 has 40 divisors (see below), whose sum is σ = 1617787080. Its totient is φ = 247402496.

The previous prime is 657164213. The next prime is 657164281. The reversal of 657164240 is 42461756.

657164240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 42719296 + 614444944 = 6536^2 + 24788^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 657164240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240245 + ... + 242964.

It is an arithmetic number, because the mean of its divisors is an integer number (40444677).

Almost surely, 2^657164240 is an apocalyptic number.

It is an amenable number.

657164240 is an abundant number, since it is smaller than the sum of its proper divisors (960622840).

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

657164240 is a wasteful number, since it uses less digits than its factorization.

657164240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483239 (or 483233 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 657164240 is about 25635.2148420878. The cubic root of 657164240 is about 869.4100196966.

The spelling of 657164240 in words is "six hundred fifty-seven million, one hundred sixty-four thousand, two hundred forty".