164054790 has 96 divisors (see below), whose sum is σ = 444727296. Its totient is φ = 41912640.

The previous prime is 164054789. The next prime is 164054809. The reversal of 164054790 is 97450461.

164054790 is a `hidden beast` number, since 1 + 640 + 5 + 4 + 7 + 9 + 0 = 666.

164054790 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 354099 + ... + 354561.

It is an arithmetic number, because the mean of its divisors is an integer number (4632576).

Almost surely, 2^164054790 is an apocalyptic number.

164054790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164054790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222363648).

164054790 is an abundant number, since it is smaller than the sum of its proper divisors (280672506).

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

164054790 is a wasteful number, since it uses less digits than its factorization.

164054790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 164054790 is about 12808.3874863310. The cubic root of 164054790 is about 547.4313168361.

The spelling of 164054790 in words is "one hundred sixty-four million, fifty-four thousand, seven hundred ninety".