64557000 has 160 divisors (see below), whose sum is σ = 225945720. Its totient is φ = 17193600.

The previous prime is 64556981. The next prime is 64557029. The reversal of 64557000 is 75546.

It can be written as a sum of positive squares in 4 ways, for example, as 18507204 + 46049796 = 4302^2 + 6786^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80602 + ... + 81398.

Almost surely, 2^64557000 is an apocalyptic number.

64557000 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 64557000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112972860).

64557000 is an abundant number, since it is smaller than the sum of its proper divisors (161388720).

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

64557000 is a wasteful number, since it uses less digits than its factorization.

64557000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 807 counting only the distinct ones).

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

The square root of 64557000 is about 8034.7370834396. The cubic root of 64557000 is about 401.1570664326.

The spelling of 64557000 in words is "sixty-four million, five hundred fifty-seven thousand".