64256000 has 96 divisors (see below), whose sum is σ = 160982640. Its totient is φ = 25600000.

The previous prime is 64255973. The next prime is 64256009. The reversal of 64256000 is 65246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64256009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255875 + ... + 256125.

Almost surely, 2^64256000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80491320).

64256000 is an abundant number, since it is smaller than the sum of its proper divisors (96726640).

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

64256000 is an equidigital number, since it uses as much as digits as its factorization.

64256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 64256000 is about 8015.9840319202. The cubic root of 64256000 is about 400.5326237983.

The spelling of 64256000 in words is "sixty-four million, two hundred fifty-six thousand".