657081040 has 80 divisors (see below), whose sum is σ = 1904699520. Its totient is φ = 204802560.

The previous prime is 657081031. The next prime is 657081049. The reversal of 657081040 is 40180756.

It is an interprime number because it is at equal distance from previous prime (657081031) and next prime (657081049).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 657080993 and 657081011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (657081049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47175 + ... + 59494.

It is an arithmetic number, because the mean of its divisors is an integer number (23808744).

Almost surely, 2^657081040 is an apocalyptic number.

It is an amenable number.

657081040 is an abundant number, since it is smaller than the sum of its proper divisors (1247618480).

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

657081040 is a wasteful number, since it uses less digits than its factorization.

657081040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106700 (or 106694 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 657081040 is about 25633.5920229686. The cubic root of 657081040 is about 869.3733277191.

The spelling of 657081040 in words is "six hundred fifty-seven million, eighty-one thousand, forty".