64171968 has 168 divisors, whose sum is σ = 208483200. Its totient is φ = 17321472.

The previous prime is 64171927. The next prime is 64171993. The reversal of 64171968 is 86917146.

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 (42).

It is a congruent number.

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, 178573 + ... + 178931.

Almost surely, 2^64171968 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 64171968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104241600).

64171968 is an abundant number, since it is smaller than the sum of its proper divisors (144311232).

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

64171968 is a wasteful number, since it uses less digits than its factorization.

64171968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 390 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 64171968 is about 8010.7407897148. The cubic root of 64171968 is about 400.3579462573.

It can be divided in two parts, 6417 and 1968, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 64171968 in words is "sixty-four million, one hundred seventy-one thousand, nine hundred sixty-eight".