64007160 has 128 divisors (see below), whose sum is σ = 229063680. Its totient is φ = 13989888.

The previous prime is 64007149. The next prime is 64007161. The reversal of 64007160 is 6170046.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 64007160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64007161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17664 + ... + 20976.

It is an arithmetic number, because the mean of its divisors is an integer number (1789560).

Almost surely, 2^64007160 is an apocalyptic number.

64007160 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 64007160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114531840).

64007160 is an abundant number, since it is smaller than the sum of its proper divisors (165056520).

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

64007160 is a wasteful number, since it uses less digits than its factorization.

64007160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 64007160 is about 8000.4474874847. The cubic root of 64007160 is about 400.0149161104.

The spelling of 64007160 in words is "sixty-four million, seven thousand, one hundred sixty".