167163920 has 120 divisors (see below), whose sum is σ = 488427072. Its totient is φ = 52081920.

The previous prime is 167163901. The next prime is 167163923. The reversal of 167163920 is 29361761.

It is a super-2 number, since 2×167163920² = 55887552299532800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (167163923) 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, 66527 + ... + 68993.

Almost surely, 2^167163920 is an apocalyptic number.

167163920 is a gapful number since it is divisible by the number (10) 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 167163920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244213536).

167163920 is an abundant number, since it is smaller than the sum of its proper divisors (321263152).

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

167163920 is a wasteful number, since it uses less digits than its factorization.

167163920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 167163920 is about 12929.1886829762. The cubic root of 167163920 is about 550.8679628682.

The spelling of 167163920 in words is "one hundred sixty-seven million, one hundred sixty-three thousand, nine hundred twenty".