64164276 has 72 divisors (see below), whose sum is σ = 177847488. Its totient is φ = 19344000.

The previous prime is 64164271. The next prime is 64164313. The reversal of 64164276 is 67246146.

64164276 is a `hidden beast` number, since 6 + 4 + 1 + 642 + 7 + 6 = 666.

64164276 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 64164276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64164271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122896 + ... + 123416.

It is an arithmetic number, because the mean of its divisors is an integer number (2470104).

Almost surely, 2^64164276 is an apocalyptic number.

64164276 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64164276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88923744).

64164276 is an abundant number, since it is smaller than the sum of its proper divisors (113683212).

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

64164276 is a wasteful number, since it uses less digits than its factorization.

64164276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 848 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 64164276 is about 8010.2606699158. The cubic root of 64164276 is about 400.3419492601.

The spelling of 64164276 in words is "sixty-four million, one hundred sixty-four thousand, two hundred seventy-six".