657112040 has 32 divisors (see below), whose sum is σ = 1592234280. Its totient is φ = 242625792.

The previous prime is 657112031. The next prime is 657112061. The reversal of 657112040 is 40211756.

It can be written as a sum of positive squares in 4 ways, for example, as 207417604 + 449694436 = 14402^2 + 21206^2 .

It is a super-2 number, since 2×657112040² = 863592466225923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 631319 + ... + 632358.

Almost surely, 2^657112040 is an apocalyptic number.

It is an amenable number.

657112040 is an abundant number, since it is smaller than the sum of its proper divisors (935122240).

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

657112040 is a wasteful number, since it uses less digits than its factorization.

657112040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263701 (or 1263697 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 657112040 is about 25634.1966911390. The cubic root of 657112040 is about 869.3869993708.

Adding to 657112040 its reverse (40211756), we get a palindrome (697323796).

The spelling of 657112040 in words is "six hundred fifty-seven million, one hundred twelve thousand, forty".