657632140 has 96 divisors (see below), whose sum is σ = 1565964288. Its totient is φ = 229824000.

The previous prime is 657632137. The next prime is 657632149. The reversal of 657632140 is 41236756.

It is a happy number.

657632140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 657632096 and 657632105.

It is not an unprimeable number, because it can be changed into a prime (657632149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1438792 + ... + 1439248.

It is an arithmetic number, because the mean of its divisors is an integer number (16312128).

Almost surely, 2^657632140 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 657632140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782982144).

657632140 is an abundant number, since it is smaller than the sum of its proper divisors (908332148).

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

657632140 is a wasteful number, since it uses less digits than its factorization.

657632140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 657632140 is about 25644.3393363916. The cubic root of 657632140 is about 869.6163103088.

Adding to 657632140 its reverse (41236756), we get a palindrome (698868896).

The spelling of 657632140 in words is "six hundred fifty-seven million, six hundred thirty-two thousand, one hundred forty".