657652340 has 48 divisors (see below), whose sum is σ = 1443899520. Its totient is φ = 251137920.

The previous prime is 657652273. The next prime is 657652349. The reversal of 657652340 is 43256756.

It is a junction number, because it is equal to n+sod(n) for n = 657652294 and 657652303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (657652349) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 316826 + ... + 318894.

It is an arithmetic number, because the mean of its divisors is an integer number (30081240).

Almost surely, 2^657652340 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 657652340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721949760).

657652340 is an abundant number, since it is smaller than the sum of its proper divisors (786247180).

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

657652340 is a wasteful number, since it uses less digits than its factorization.

657652340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 38.

The square root of 657652340 is about 25644.7331824685. The cubic root of 657652340 is about 869.6252140046.

The spelling of 657652340 in words is "six hundred fifty-seven million, six hundred fifty-two thousand, three hundred forty".