657343332 has 72 divisors (see below), whose sum is σ = 1716039416. Its totient is φ = 212004864.

The previous prime is 657343327. The next prime is 657343333. The reversal of 657343332 is 233343756.

It can be written as a sum of positive squares in 4 ways, for example, as 124010496 + 533332836 = 11136^2 + 23094^2 .

It is a super-2 number, since 2×657343332² = 864200512249724448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (657343333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255798 + ... + 258354.

Almost surely, 2^657343332 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 657343332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858019708).

657343332 is an abundant number, since it is smaller than the sum of its proper divisors (1058696084).

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

657343332 is a wasteful number, since it uses less digits than its factorization.

657343332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797 (or 2792 counting only the distinct ones).

The product of its digits is 136080, while the sum is 36.

The square root of 657343332 is about 25638.7076897413. The cubic root of 657343332 is about 869.4889904356.

The spelling of 657343332 in words is "six hundred fifty-seven million, three hundred forty-three thousand, three hundred thirty-two".