167820960 has 96 divisors (see below), whose sum is σ = 531461952. Its totient is φ = 44513280.

The previous prime is 167820953. The next prime is 167820967. The reversal of 167820960 is 69028761.

It is an interprime number because it is at equal distance from previous prime (167820953) and next prime (167820967).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (167820967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100452 + ... + 102108.

It is an arithmetic number, because the mean of its divisors is an integer number (5536062).

Almost surely, 2^167820960 is an apocalyptic number.

167820960 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 167820960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265730976).

167820960 is an abundant number, since it is smaller than the sum of its proper divisors (363640992).

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

167820960 is a wasteful number, since it uses less digits than its factorization.

167820960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 167820960 is about 12954.5729377699. The cubic root of 167820960 is about 551.5887506091.

The spelling of 167820960 in words is "one hundred sixty-seven million, eight hundred twenty thousand, nine hundred sixty".