657420 has 24 divisors (see below), whose sum is σ = 1840944. Its totient is φ = 175296.

The previous prime is 657413. The next prime is 657431. The reversal of 657420 is 24756.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5419 + ... + 5538.

It is an arithmetic number, because the mean of its divisors is an integer number (76706).

2⁶⁵⁷⁴²⁰ is an apocalyptic number.

657420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

657420 is an abundant number, since it is smaller than the sum of its proper divisors (1183524).

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

657420 is a wasteful number, since it uses less digits than its factorization.

657420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10969 (or 10967 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 657420 is about 810.8144053974. The cubic root of 657420 is about 86.9522792858.

The spelling of 657420 in words is "six hundred fifty-seven thousand, four hundred twenty".