64257000 has 64 divisors (see below), whose sum is σ = 200491200. Its totient is φ = 17134400.

The previous prime is 64256999. The next prime is 64257001. The reversal of 64257000 is 75246.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (64256999) and next prime (64257001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (64257001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7710 + ... + 13709.

It is an arithmetic number, because the mean of its divisors is an integer number (3132675).

Almost surely, 2^64257000 is an apocalyptic number.

64257000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64257000 is an abundant number, since it is smaller than the sum of its proper divisors (136234200).

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

64257000 is a wasteful number, since it uses less digits than its factorization.

64257000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21443 (or 21429 counting only the distinct ones).

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

The square root of 64257000 is about 8016.0464070513. The cubic root of 64257000 is about 400.5347015837.

The spelling of 64257000 in words is "sixty-four million, two hundred fifty-seven thousand".