167112864 has 72 divisors (see below), whose sum is σ = 481021632. Its totient is φ = 55025280.

The previous prime is 167112853. The next prime is 167112893. The reversal of 167112864 is 468211761.

It is a happy number.

167112864 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20409 + ... + 27399.

It is an arithmetic number, because the mean of its divisors is an integer number (6680856).

Almost surely, 2^167112864 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 167112864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240510816).

167112864 is an abundant number, since it is smaller than the sum of its proper divisors (313908768).

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

167112864 is a wasteful number, since it uses less digits than its factorization.

167112864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7090 (or 7079 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 167112864 is about 12927.2140850223. The cubic root of 167112864 is about 550.8118742525.

It can be divided in two parts, 1671 and 12864, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 167112864 in words is "one hundred sixty-seven million, one hundred twelve thousand, eight hundred sixty-four".