64671768 has 144 divisors (see below), whose sum is σ = 212874480. Its totient is φ = 17652096.

The previous prime is 64671767. The next prime is 64671781. The reversal of 64671768 is 86717646.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64671767) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80746 + ... + 81542.

It is an arithmetic number, because the mean of its divisors is an integer number (1478295).

Almost surely, 2^64671768 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 64671768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106437240).

64671768 is an abundant number, since it is smaller than the sum of its proper divisors (148202712).

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

64671768 is a wasteful number, since it uses less digits than its factorization.

64671768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 832 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 64671768 is about 8041.8759005595. The cubic root of 64671768 is about 401.3946484049.

The spelling of 64671768 in words is "sixty-four million, six hundred seventy-one thousand, seven hundred sixty-eight".