64248100 has 72 divisors (see below), whose sum is σ = 168739200. Its totient is φ = 20728320.

The previous prime is 64248077. The next prime is 64248127. The reversal of 64248100 is 184246.

It is a super-2 number, since 2×64248100² = 8255636707220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 9201 + ... + 14599.

It is an arithmetic number, because the mean of its divisors is an integer number (2343600).

Almost surely, 2^64248100 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 64248100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84369600).

64248100 is an abundant number, since it is smaller than the sum of its proper divisors (104491100).

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

64248100 is a wasteful number, since it uses less digits than its factorization.

64248100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5437 (or 5430 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 64248100 is about 8015.4912513208. The cubic root of 64248100 is about 400.5162085353.

The spelling of 64248100 in words is "sixty-four million, two hundred forty-eight thousand, one hundred".