167791104 has 120 divisors (see below), whose sum is σ = 521693172. Its totient is φ = 51609600.

The previous prime is 167791097. The next prime is 167791133. The reversal of 167791104 is 401197761.

It can be written as a sum of positive squares in 2 ways, for example, as 161798400 + 5992704 = 12720^2 + 2448^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58504 + ... + 61304.

Almost surely, 2^167791104 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 167791104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260846586).

167791104 is an abundant number, since it is smaller than the sum of its proper divisors (353902068).

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

167791104 is a wasteful number, since it uses less digits than its factorization.

167791104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 167791104 is about 12953.4205521167. The cubic root of 167791104 is about 551.5560387428.

The spelling of 167791104 in words is "one hundred sixty-seven million, seven hundred ninety-one thousand, one hundred four".