167772164 has 48 divisors (see below), whose sum is σ = 349695360. Its totient is φ = 68931840.

The previous prime is 167772161. The next prime is 167772193. The reversal of 167772164 is 461277761.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (167772161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66494 + ... + 68970.

It is an arithmetic number, because the mean of its divisors is an integer number (7285320).

Almost surely, 2^167772164 is an apocalyptic number.

167772164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167772164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174847680).

167772164 is an abundant number, since it is smaller than the sum of its proper divisors (181923196).

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

167772164 is a wasteful number, since it uses less digits than its factorization.

167772164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2586 counting only the distinct ones).

The product of its digits is 98784, while the sum is 41.

The square root of 167772164 is about 12952.6894504578. The cubic root of 167772164 is about 551.5352850314.

It can be divided in two parts, 16777216 and 4, that multiplied together give a 26-th power (67108864 = 2²⁶).

The spelling of 167772164 in words is "one hundred sixty-seven million, seven hundred seventy-two thousand, one hundred sixty-four".