657970040 has 320 divisors, whose sum is σ = 2032853760. Its totient is φ = 189665280.

The previous prime is 657970013. The next prime is 657970043. The reversal of 657970040 is 40079756.

It is a junction number, because it is equal to n+sod(n) for n = 657969976 and 657970003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (657970043) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21224825 + ... + 21224855.

It is an arithmetic number, because the mean of its divisors is an integer number (6352668).

Almost surely, 2^657970040 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 657970040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016426880).

657970040 is an abundant number, since it is smaller than the sum of its proper divisors (1374883720).

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

657970040 is a wasteful number, since it uses less digits than its factorization.

657970040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 657970040 is about 25650.9266889132. The cubic root of 657970040 is about 869.7652248872.

The spelling of 657970040 in words is "six hundred fifty-seven million, nine hundred seventy thousand, forty".