67104864 has 72 divisors (see below), whose sum is σ = 195518232. Its totient is φ = 21818880.

The previous prime is 67104859. The next prime is 67104871. The reversal of 67104864 is 46840176.

67104864 = T₂₂₁₆ + T₂₂₁₇ + ... + T₂₂₄₂.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8967 + ... + 14649.

It is an arithmetic number, because the mean of its divisors is an integer number (2715531).

Almost surely, 2^67104864 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 67104864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97759116).

67104864 is an abundant number, since it is smaller than the sum of its proper divisors (128413368).

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

67104864 is a wasteful number, since it uses less digits than its factorization.

67104864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5740 (or 5729 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 67104864 is about 8191.7558557369. The cubic root of 67104864 is about 406.3665952042.

The spelling of 67104864 in words is "sixty-seven million, one hundred four thousand, eight hundred sixty-four".