64518144 has 48 divisors (see below), whose sum is σ = 172022760. Its totient is φ = 21504000.

The previous prime is 64518143. The next prime is 64518173. The reversal of 64518144 is 44181546.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64518143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 894 + ... + 11394.

Almost surely, 2^64518144 is an apocalyptic number.

64518144 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 64518144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86011380).

64518144 is an abundant number, since it is smaller than the sum of its proper divisors (107504616).

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

64518144 is a wasteful number, since it uses less digits than its factorization.

64518144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10526 (or 10506 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 64518144 is about 8032.3187187760. The cubic root of 64518144 is about 401.0765665782.

The spelling of 64518144 in words is "sixty-four million, five hundred eighteen thousand, one hundred forty-four".