64234800 has 180 divisors, whose sum is σ = 254857200. Its totient is φ = 14676480.

The previous prime is 64234747. The next prime is 64234847. The reversal of 64234800 is 843246.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×64234800² = 8252219062080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23926 + ... + 26474.

Almost surely, 2^64234800 is an apocalyptic number.

64234800 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 64234800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127428600).

64234800 is an abundant number, since it is smaller than the sum of its proper divisors (190622400).

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

64234800 is a wasteful number, since it uses less digits than its factorization.

64234800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 64234800 is about 8014.6615649072. The cubic root of 64234800 is about 400.4885696729.

The spelling of 64234800 in words is "sixty-four million, two hundred thirty-four thousand, eight hundred".