557064 has 32 divisors (see below), whose sum is σ = 1548000. Its totient is φ = 185616.

The previous prime is 557059. The next prime is 557069. The reversal of 557064 is 460755.

It is an interprime number because it is at equal distance from previous prime (557059) and next prime (557069).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (557069) by changing a digit.

557064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1074 + ... + 1505.

It is an arithmetic number, because the mean of its divisors is an integer number (48375).

2⁵⁵⁷⁰⁶⁴ is an apocalyptic number.

557064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

557064 is an abundant number, since it is smaller than the sum of its proper divisors (990936).

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

557064 is a wasteful number, since it uses less digits than its factorization.

557064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 557064 is about 746.3672018517. The cubic root of 557064 is about 82.2814047842.

The spelling of 557064 in words is "five hundred fifty-seven thousand, sixty-four".