167864320 has 144 divisors (see below), whose sum is σ = 440638380. Its totient is φ = 61341696.

The previous prime is 167864311. The next prime is 167864321. The reversal of 167864320 is 23468761.

It can be written as a sum of positive squares in 6 ways, for example, as 14500864 + 153363456 = 3808^2 + 12384^2 .

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 167864320.

It is not an unprimeable number, because it can be changed into a prime (167864321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1730512 + ... + 1730608.

Almost surely, 2^167864320 is an apocalyptic number.

167864320 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 167864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220319190).

167864320 is an abundant number, since it is smaller than the sum of its proper divisors (272774060).

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

167864320 is an equidigital number, since it uses as much as digits as its factorization.

167864320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 167864320 is about 12956.2463699947. The cubic root of 167864320 is about 551.6362512882.

The spelling of 167864320 in words is "one hundred sixty-seven million, eight hundred sixty-four thousand, three hundred twenty".