657342340 has 48 divisors (see below), whose sum is σ = 1428268464. Its totient is φ = 253952000.

The previous prime is 657342337. The next prime is 657342347. The reversal of 657342340 is 43243756.

It can be written as a sum of positive squares in 8 ways, for example, as 52969284 + 604373056 = 7278^2 + 24584^2 .

It is a junction number, because it is equal to n+sod(n) for n = 657342296 and 657342305.

It is not an unprimeable number, because it can be changed into a prime (657342347) 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, 78852 + ... + 86788.

It is an arithmetic number, because the mean of its divisors is an integer number (29755593).

Almost surely, 2^657342340 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 657342340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714134232).

657342340 is an abundant number, since it is smaller than the sum of its proper divisors (770926124).

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

657342340 is a wasteful number, since it uses less digits than its factorization.

657342340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8088 (or 8086 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 34.

The square root of 657342340 is about 25638.6883439852. The cubic root of 657342340 is about 869.4885530520.

The spelling of 657342340 in words is "six hundred fifty-seven million, three hundred forty-two thousand, three hundred forty".