657271020 has 96 divisors (see below), whose sum is σ = 2143024128. Its totient is φ = 147393792.

The previous prime is 657271019. The next prime is 657271031. The reversal of 657271020 is 20172756.

657271020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7497 + ... + 37023.

It is an arithmetic number, because the mean of its divisors is an integer number (22323168).

Almost surely, 2^657271020 is an apocalyptic number.

657271020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 657271020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071512064).

657271020 is an abundant number, since it is smaller than the sum of its proper divisors (1485753108).

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

657271020 is a wasteful number, since it uses less digits than its factorization.

657271020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29599 (or 29597 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 657271020 is about 25637.2974394728. The cubic root of 657271020 is about 869.4571061368.

The spelling of 657271020 in words is "six hundred fifty-seven million, two hundred seventy-one thousand, twenty".