657742540 has 96 divisors (see below), whose sum is σ = 1710656640. Its totient is φ = 206862336.

The previous prime is 657742537. The next prime is 657742543. The reversal of 657742540 is 45247756.

657742540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (657742537) and next prime (657742543).

It is a junction number, because it is equal to n+sod(n) for n = 657742493 and 657742502.

It is not an unprimeable number, because it can be changed into a prime (657742543) 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, 313816 + ... + 315904.

It is an arithmetic number, because the mean of its divisors is an integer number (17819340).

Almost surely, 2^657742540 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 657742540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855328320).

657742540 is an abundant number, since it is smaller than the sum of its proper divisors (1052914100).

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

657742540 is a wasteful number, since it uses less digits than its factorization.

657742540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 40.

The square root of 657742540 is about 25646.4917678812. The cubic root of 657742540 is about 869.6649698673.

The spelling of 657742540 in words is "six hundred fifty-seven million, seven hundred forty-two thousand, five hundred forty".