64252800 has 288 divisors, whose sum is σ = 241703280. Its totient is φ = 16220160.

The previous prime is 64252763. The next prime is 64252841. The reversal of 64252800 is 825246.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 662352 + ... + 662448.

Almost surely, 2^64252800 is an apocalyptic number.

64252800 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 64252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120851640).

64252800 is an abundant number, since it is smaller than the sum of its proper divisors (177450480).

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

64252800 is a wasteful number, since it uses less digits than its factorization.

64252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 64252800 is about 8015.7844282391. The cubic root of 64252800 is about 400.5259747400.

The spelling of 64252800 in words is "sixty-four million, two hundred fifty-two thousand, eight hundred".