167042304 has 288 divisors, whose sum is σ = 583766400. Its totient is φ = 46725120.

The previous prime is 167042299. The next prime is 167042321. The reversal of 167042304 is 403240761.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 12849402 + ... + 12849414.

Almost surely, 2^167042304 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 167042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291883200).

167042304 is an abundant number, since it is smaller than the sum of its proper divisors (416724096).

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

167042304 is an equidigital number, since it uses as much as digits as its factorization.

167042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 167042304 is about 12924.4846705778. The cubic root of 167042304 is about 550.7343403109.

The spelling of 167042304 in words is "one hundred sixty-seven million, forty-two thousand, three hundred four".