64834560 has 352 divisors, whose sum is σ = 267256320. Its totient is φ = 14598144.

The previous prime is 64834559. The next prime is 64834597. The reversal of 64834560 is 6543846.

64834560 is a `hidden beast` number, since 64 + 8 + 34 + 560 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 967647 + ... + 967713.

Almost surely, 2^64834560 is an apocalyptic number.

64834560 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 64834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133628160).

64834560 is an abundant number, since it is smaller than the sum of its proper divisors (202421760).

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

64834560 is a wasteful number, since it uses less digits than its factorization.

64834560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 64834560 is about 8051.9910581172. The cubic root of 64834560 is about 401.7311635400.

The spelling of 64834560 in words is "sixty-four million, eight hundred thirty-four thousand, five hundred sixty".