64418160 has 80 divisors (see below), whose sum is σ = 201237120. Its totient is φ = 17045760.

The previous prime is 64418149. The next prime is 64418177. The reversal of 64418160 is 6181446.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32395 + ... + 34325.

It is an arithmetic number, because the mean of its divisors is an integer number (2515464).

Almost surely, 2^64418160 is an apocalyptic number.

64418160 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 64418160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100618560).

64418160 is an abundant number, since it is smaller than the sum of its proper divisors (136818960).

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

64418160 is a wasteful number, since it uses less digits than its factorization.

64418160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 64418160 is about 8026.0924490066. The cubic root of 64418160 is about 400.8692761954.

The spelling of 64418160 in words is "sixty-four million, four hundred eighteen thousand, one hundred sixty".