657073152 has 132 divisors (see below), whose sum is σ = 1922378640. Its totient is φ = 216133632.

The previous prime is 657073139. The next prime is 657073169. The reversal of 657073152 is 251370756.

657073152 is a `hidden beast` number, since 6 + 570 + 7 + 31 + 52 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 764499 + ... + 765357.

Almost surely, 2^657073152 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 657073152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961189320).

657073152 is an abundant number, since it is smaller than the sum of its proper divisors (1265305488).

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

657073152 is a wasteful number, since it uses less digits than its factorization.

657073152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 657073152 is about 25633.4381619010. The cubic root of 657073152 is about 869.3698488766.

The spelling of 657073152 in words is "six hundred fifty-seven million, seventy-three thousand, one hundred fifty-two".