94164672 has 84 divisors (see below), whose sum is σ = 289849560. Its totient is φ = 26901504.

The previous prime is 94164647. The next prime is 94164677. The reversal of 94164672 is 27646149.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 94164672.

It is not an unprimeable number, because it can be changed into a prime (94164677) 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 11 ways as a sum of consecutive naturals, for example, 4404 + ... + 14412.

It is an arithmetic number, because the mean of its divisors is an integer number (3450590).

Almost surely, 2^94164672 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 94164672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144924780).

94164672 is an abundant number, since it is smaller than the sum of its proper divisors (195684888).

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

94164672 is a wasteful number, since it uses less digits than its factorization.

94164672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10038 (or 10021 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 94164672 is about 9703.8483087897. The cubic root of 94164672 is about 454.9489489074.

The spelling of 94164672 in words is "ninety-four million, one hundred sixty-four thousand, six hundred seventy-two".