34968560 has 80 divisors (see below), whose sum is σ = 89994240. Its totient is φ = 12529920.

The previous prime is 34968551. The next prime is 34968581. The reversal of 34968560 is 6586943.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69269 + ... + 69771.

It is an arithmetic number, because the mean of its divisors is an integer number (1124928).

Almost surely, 2^34968560 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 34968560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997120).

34968560 is an abundant number, since it is smaller than the sum of its proper divisors (55025680).

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

34968560 is a wasteful number, since it uses less digits than its factorization.

34968560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 34968560 is about 5913.4220211313. The cubic root of 34968560 is about 327.0086566054.

The spelling of 34968560 in words is "thirty-four million, nine hundred sixty-eight thousand, five hundred sixty".