64805760 has 96 divisors (see below), whose sum is σ = 223802280. Its totient is φ = 17280000.

The previous prime is 64805737. The next prime is 64805761. The reversal of 64805760 is 6750846.

It is a happy number.

64805760 is a `hidden beast` number, since 6 + 4 + 80 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64805761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135 + ... + 11385.

Almost surely, 2^64805760 is an apocalyptic number.

64805760 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 64805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111901140).

64805760 is an abundant number, since it is smaller than the sum of its proper divisors (158996520).

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

64805760 is a wasteful number, since it uses less digits than its factorization.

64805760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11276 (or 11261 counting only the distinct ones).

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

The square root of 64805760 is about 8050.2024819255. The cubic root of 64805760 is about 401.6716707269.

The spelling of 64805760 in words is "sixty-four million, eight hundred five thousand, seven hundred sixty".