657264960 has 168 divisors, whose sum is σ = 2466356256. Its totient is φ = 159329280.

The previous prime is 657264913. The next prime is 657264977. The reversal of 657264960 is 69462756.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 21307 + ... + 42053.

It is an arithmetic number, because the mean of its divisors is an integer number (14680692).

Almost surely, 2^657264960 is an apocalyptic number.

657264960 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 657264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233178128).

657264960 is an abundant number, since it is smaller than the sum of its proper divisors (1809091296).

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

657264960 is a wasteful number, since it uses less digits than its factorization.

657264960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20781 (or 20768 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 657264960 is about 25637.1792520160. The cubic root of 657264960 is about 869.4544340142.

The spelling of 657264960 in words is "six hundred fifty-seven million, two hundred sixty-four thousand, nine hundred sixty".