164742804 has 72 divisors (see below), whose sum is σ = 439991552. Its totient is φ = 51891840.

The previous prime is 164742803. The next prime is 164742821. The reversal of 164742804 is 408247461.

164742804 is a `hidden beast` number, since 1 + 647 + 4 + 2 + 8 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164742803) 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 23 ways as a sum of consecutive naturals, for example, 46272 + ... + 49704.

Almost surely, 2^164742804 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 164742804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219995776).

164742804 is an abundant number, since it is smaller than the sum of its proper divisors (275248748).

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

164742804 is a wasteful number, since it uses less digits than its factorization.

164742804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3517 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 164742804 is about 12835.2173335709. The cubic root of 164742804 is about 548.1955231405.

The spelling of 164742804 in words is "one hundred sixty-four million, seven hundred forty-two thousand, eight hundred four".