164088890 has 32 divisors (see below), whose sum is σ = 348447744. Its totient is φ = 54443520.

The previous prime is 164088863. The next prime is 164088907. The reversal of 164088890 is 98880461.

It is a happy number.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35639 + ... + 39978.

It is an arithmetic number, because the mean of its divisors is an integer number (10888992).

Almost surely, 2^164088890 is an apocalyptic number.

164088890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164088890 is an abundant number, since it is smaller than the sum of its proper divisors (184358854).

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

164088890 is a wasteful number, since it uses less digits than its factorization.

164088890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75662.

The product of its (nonzero) digits is 110592, while the sum is 44.

The square root of 164088890 is about 12809.7185761437. The cubic root of 164088890 is about 547.4692434228.

The spelling of 164088890 in words is "one hundred sixty-four million, eighty-eight thousand, eight hundred ninety".