64085760 has 108 divisors (see below), whose sum is σ = 221769912. Its totient is φ = 17086464.

The previous prime is 64085743. The next prime is 64085771. The reversal of 64085760 is 6758046.

It is a happy number.

64085760 is a `hidden beast` number, since 640 + 8 + 5 + 7 + 6 + 0 = 666.

64085760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8739 + ... + 14301.

Almost surely, 2^64085760 is an apocalyptic number.

64085760 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 64085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110884956).

64085760 is an abundant number, since it is smaller than the sum of its proper divisors (157684152).

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

64085760 is a wasteful number, since it uses less digits than its factorization.

64085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5590 (or 5573 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 64085760 is about 8005.3582056020. The cubic root of 64085760 is about 400.1785869216.

The spelling of 64085760 in words is "sixty-four million, eighty-five thousand, seven hundred sixty".