657966240 has 168 divisors, whose sum is σ = 2331014868. Its totient is φ = 175426560.

The previous prime is 657966203. The next prime is 657966241. The reversal of 657966240 is 42669756.

It can be written as a sum of positive squares in 2 ways, for example, as 611671824 + 46294416 = 24732^2 + 6804^2 .

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

It is not an unprimeable number, because it can be changed into a prime (657966241) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 113820 + ... + 119460.

Almost surely, 2^657966240 is an apocalyptic number.

657966240 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 657966240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165507434).

657966240 is an abundant number, since it is smaller than the sum of its proper divisors (1673048628).

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

657966240 is an equidigital number, since it uses as much as digits as its factorization.

657966240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5674 (or 5651 counting only the distinct ones).

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

The square root of 657966240 is about 25650.8526174083. The cubic root of 657966240 is about 869.7635504877.

The spelling of 657966240 in words is "six hundred fifty-seven million, nine hundred sixty-six thousand, two hundred forty".