164672046 has 108 divisors (see below), whose sum is σ = 456497496. Its totient is φ = 42744240.

The previous prime is 164672041. The next prime is 164672087. The reversal of 164672046 is 640276461.

164672046 is a `hidden beast` number, since 1 + 646 + 7 + 2 + 0 + 4 + 6 = 666.

164672046 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164672046² = 54233765467652232, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164672046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164672041) 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 53 ways as a sum of consecutive naturals, for example, 105951 + ... + 107493.

Almost surely, 2^164672046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164672046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228248748).

164672046 is an abundant number, since it is smaller than the sum of its proper divisors (291825450).

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

164672046 is a wasteful number, since it uses less digits than its factorization.

164672046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1566 counting only the distinct ones).

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

The square root of 164672046 is about 12832.4606369940. The cubic root of 164672046 is about 548.1170275045.

The spelling of 164672046 in words is "one hundred sixty-four million, six hundred seventy-two thousand, forty-six".