64456560 has 400 divisors, whose sum is σ = 270072000. Its totient is φ = 14224896.

The previous prime is 64456543. The next prime is 64456583. The reversal of 64456560 is 6565446.

It is a happy number.

64456560 is a `hidden beast` number, since 6 + 44 + 56 + 560 = 666.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2222626 + ... + 2222654.

It is an arithmetic number, because the mean of its divisors is an integer number (675180).

Almost surely, 2^64456560 is an apocalyptic number.

64456560 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 64456560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135036000).

64456560 is an abundant number, since it is smaller than the sum of its proper divisors (205615440).

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

64456560 is a wasteful number, since it uses less digits than its factorization.

64456560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 46 counting only the distinct ones).

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

The square root of 64456560 is about 8028.4842903253. The cubic root of 64456560 is about 400.9489137931.

The spelling of 64456560 in words is "sixty-four million, four hundred fifty-six thousand, five hundred sixty".