64171296 has 144 divisors (see below), whose sum is σ = 210974400. Its totient is φ = 18123264.

The previous prime is 64171279. The next prime is 64171313. The reversal of 64171296 is 69217146.

64171296 is a `hidden beast` number, since 641 + 7 + 1 + 2 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (64171279) and next prime (64171313).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 64171296.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280110 + ... + 280338.

It is an arithmetic number, because the mean of its divisors is an integer number (1465100).

Almost surely, 2^64171296 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 64171296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105487200).

64171296 is an abundant number, since it is smaller than the sum of its proper divisors (146803104).

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

64171296 is a wasteful number, since it uses less digits than its factorization.

64171296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 380 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 64171296 is about 8010.6988459185. The cubic root of 64171296 is about 400.3565487547.

The spelling of 64171296 in words is "sixty-four million, one hundred seventy-one thousand, two hundred ninety-six".