34560064 has 56 divisors (see below), whose sum is σ = 85514688. Its totient is φ = 13463040.

The previous prime is 34560061. The next prime is 34560073. The reversal of 34560064 is 46006543.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (34560061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1422 + ... + 8434.

It is an arithmetic number, because the mean of its divisors is an integer number (1527048).

Almost surely, 2^34560064 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 34560064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42757344).

34560064 is an abundant number, since it is smaller than the sum of its proper divisors (50954624).

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

34560064 is a wasteful number, since it uses less digits than its factorization.

34560064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7043 (or 7033 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 34560064 is about 5878.7808259876. The cubic root of 34560064 is about 325.7303150592.

The spelling of 34560064 in words is "thirty-four million, five hundred sixty thousand, sixty-four".