64180224 has 78 divisors (see below), whose sum is σ = 185493386. Its totient is φ = 21381120.

The previous prime is 64180217. The next prime is 64180229. The reversal of 64180224 is 42208146.

It can be written as a sum of positive squares in only one way, i.e., 33177600 + 31002624 = 5760^2 + 5568^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64180229) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35994 + ... + 37734.

Almost surely, 2^64180224 is an apocalyptic number.

64180224 is a gapful number since it is divisible by the number (64) 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 64180224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92746693).

64180224 is an abundant number, since it is smaller than the sum of its proper divisors (121313162).

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

64180224 is a wasteful number, since it uses less digits than its factorization.

64180224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 64180224 is about 8011.2560812896. The cubic root of 64180224 is about 400.3751147790.

The spelling of 64180224 in words is "sixty-four million, one hundred eighty thousand, two hundred twenty-four".