64123164 has 120 divisors (see below), whose sum is σ = 195826400. Its totient is φ = 18289152.

The previous prime is 64123151. The next prime is 64123177. The reversal of 64123164 is 46132146.

64123164 is a `hidden beast` number, since 641 + 2 + 3 + 16 + 4 = 666.

64123164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64123151) and next prime (64123177).

It is a super-2 number, since 2×64123164² = 8223560322741792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 110844 + ... + 111420.

Almost surely, 2^64123164 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 64123164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97913200).

64123164 is an abundant number, since it is smaller than the sum of its proper divisors (131703236).

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

64123164 is a wasteful number, since it uses less digits than its factorization.

64123164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 589 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 64123164 is about 8007.6940500996. The cubic root of 64123164 is about 400.2564272442.

The spelling of 64123164 in words is "sixty-four million, one hundred twenty-three thousand, one hundred sixty-four".