64034160 has 80 divisors (see below), whose sum is σ = 199320576. Its totient is φ = 17005824.

The previous prime is 64034143. The next prime is 64034209. The reversal of 64034160 is 6143046.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 64034160.

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, 87717 + ... + 88443.

Almost surely, 2^64034160 is an apocalyptic number.

64034160 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 64034160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99660288).

64034160 is an abundant number, since it is smaller than the sum of its proper divisors (135286416).

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

64034160 is a wasteful number, since it uses less digits than its factorization.

64034160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 64034160 is about 8002.1347151869. The cubic root of 64034160 is about 400.0711540087.

The spelling of 64034160 in words is "sixty-four million, thirty-four thousand, one hundred sixty".