64065456 has 120 divisors (see below), whose sum is σ = 220715040. Its totient is φ = 16892928.

The previous prime is 64065451. The next prime is 64065461. The reversal of 64065456 is 65456046.

It is a happy number.

64065456 is a `hidden beast` number, since 640 + 6 + 5 + 4 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (64065451) and next prime (64065461).

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

It is a self number, because there is not a number n which added to its sum of digits gives 64065456.

It is not an unprimeable number, because it can be changed into a prime (64065451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10660 + ... + 15548.

It is an arithmetic number, because the mean of its divisors is an integer number (1839292).

Almost surely, 2^64065456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64065456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110357520).

64065456 is an abundant number, since it is smaller than the sum of its proper divisors (156649584).

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

64065456 is a wasteful number, since it uses less digits than its factorization.

64065456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4923 (or 4914 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 64065456 is about 8004.0899545170. The cubic root of 64065456 is about 400.1363202034.

The spelling of 64065456 in words is "sixty-four million, sixty-five thousand, four hundred fifty-six".