64786560 has 128 divisors (see below), whose sum is σ = 211800960. Its totient is φ = 16834560.

The previous prime is 64786537. The next prime is 64786567. The reversal of 64786560 is 6568746.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (64786567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78309 + ... + 79131.

It is an arithmetic number, because the mean of its divisors is an integer number (1654695).

Almost surely, 2^64786560 is an apocalyptic number.

64786560 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 64786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105900480).

64786560 is an abundant number, since it is smaller than the sum of its proper divisors (147014400).

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

64786560 is a wasteful number, since it uses less digits than its factorization.

64786560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 64786560 is about 8049.0098769973. The cubic root of 64786560 is about 401.6319990587.

The spelling of 64786560 in words is "sixty-four million, seven hundred eighty-six thousand, five hundred sixty".