64248800 has 216 divisors, whose sum is σ = 200377800. Its totient is φ = 19891200.

The previous prime is 64248787. The next prime is 64248841. The reversal of 64248800 is 884246.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 14.

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, 431126 + ... + 431274.

It is an arithmetic number, because the mean of its divisors is an integer number (927675).

Almost surely, 2^64248800 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 64248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100188900).

64248800 is an abundant number, since it is smaller than the sum of its proper divisors (136129000).

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

64248800 is a wasteful number, since it uses less digits than its factorization.

64248800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 64248800 is about 8015.5349166478. The cubic root of 64248800 is about 400.5176631066.

The spelling of 64248800 in words is "sixty-four million, two hundred forty-eight thousand, eight hundred".