167970560 has 72 divisors (see below), whose sum is σ = 404638416. Its totient is φ = 66805760.

The previous prime is 167970529. The next prime is 167970571. The reversal of 167970560 is 65079761.

167970560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable 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, 359447 + ... + 359913.

It is an arithmetic number, because the mean of its divisors is an integer number (5619978).

Almost surely, 2^167970560 is an apocalyptic number.

167970560 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 167970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202319208).

167970560 is an abundant number, since it is smaller than the sum of its proper divisors (236667856).

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

167970560 is an equidigital number, since it uses as much as digits as its factorization.

167970560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 41.

The square root of 167970560 is about 12960.3456744024. The cubic root of 167970560 is about 551.7526021522.

The spelling of 167970560 in words is "one hundred sixty-seven million, nine hundred seventy thousand, five hundred sixty".