64104768 has 168 divisors, whose sum is σ = 226332288. Its totient is φ = 16892928.

The previous prime is 64104707. The next prime is 64104769. The reversal of 64104768 is 86740146.

64104768 is a `hidden beast` number, since 641 + 0 + 4 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64104769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51805 + ... + 53027.

It is an arithmetic number, because the mean of its divisors is an integer number (1347216).

Almost surely, 2^64104768 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 64104768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113166144).

64104768 is an abundant number, since it is smaller than the sum of its proper divisors (162227520).

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

64104768 is a wasteful number, since it uses less digits than its factorization.

64104768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1248 counting only the distinct ones).

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

The square root of 64104768 is about 8006.5453224221. The cubic root of 64104768 is about 400.2181476740.

The spelling of 64104768 in words is "sixty-four million, one hundred four thousand, seven hundred sixty-eight".