64028160 has 240 divisors, whose sum is σ = 254064096. Its totient is φ = 14598144.

The previous prime is 64028149. The next prime is 64028177. The reversal of 64028160 is 6182046.

64028160 is a `hidden beast` number, since 640 + 2 + 8 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 161082 + ... + 161478.

Almost surely, 2^64028160 is an apocalyptic number.

64028160 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 64028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127032048).

64028160 is an abundant number, since it is smaller than the sum of its proper divisors (190035936).

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

64028160 is a wasteful number, since it uses less digits than its factorization.

64028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 64028160 is about 8001.7598064426. The cubic root of 64028160 is about 400.0586580643.

The spelling of 64028160 in words is "sixty-four million, twenty-eight thousand, one hundred sixty".