167520 has 48 divisors (see below), whose sum is σ = 529200. Its totient is φ = 44544.

The previous prime is 167491. The next prime is 167521. The reversal of 167520 is 25761.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167521) by changing a digit.

167520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306 + ... + 654.

It is an arithmetic number, because the mean of its divisors is an integer number (11025).

2¹⁶⁷⁵²⁰ is an apocalyptic number.

167520 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 167520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264600).

167520 is an abundant number, since it is smaller than the sum of its proper divisors (361680).

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

167520 is a wasteful number, since it uses less digits than its factorization.

167520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 167520 is about 409.2920717532. The cubic root of 167520 is about 55.1258824628.

The spelling of 167520 in words is "one hundred sixty-seven thousand, five hundred twenty".