64288000 has 216 divisors, whose sum is σ = 190840104. Its totient is φ = 21504000.

The previous prime is 64287997. The next prime is 64288031. The reversal of 64288000 is 88246.

It can be written as a sum of positive squares in 4 ways, for example, as 14500864 + 49787136 = 3808^2 + 7056^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 64288000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1567980 + ... + 1568020.

It is an arithmetic number, because the mean of its divisors is an integer number (883519).

Almost surely, 2^64288000 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 64288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95420052).

64288000 is an abundant number, since it is smaller than the sum of its proper divisors (126552104).

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

64288000 is an equidigital number, since it uses as much as digits as its factorization.

64288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 64288000 is about 8017.9797954348. The cubic root of 64288000 is about 400.5991022433.

The spelling of 64288000 in words is "sixty-four million, two hundred eighty-eight thousand".