34560864 has 192 divisors, whose sum is σ = 115577280. Its totient is φ = 9953280.

The previous prime is 34560859. The next prime is 34560899. The reversal of 34560864 is 46806543.

34560864 is a `hidden beast` number, since 3 + 45 + 608 + 6 + 4 = 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 31 ways as a sum of consecutive naturals, for example, 190854 + ... + 191034.

It is an arithmetic number, because the mean of its divisors is an integer number (601965).

Almost surely, 2^34560864 is an apocalyptic number.

34560864 is a gapful number since it is divisible by the number (34) 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 34560864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57788640).

34560864 is an abundant number, since it is smaller than the sum of its proper divisors (81016416).

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

34560864 is a wasteful number, since it uses less digits than its factorization.

34560864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 216 counting only the distinct ones).

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

The square root of 34560864 is about 5878.8488669126. The cubic root of 34560864 is about 325.7328283864.

The spelling of 34560864 in words is "thirty-four million, five hundred sixty thousand, eight hundred sixty-four".