167661320 has 64 divisors (see below), whose sum is σ = 399772800. Its totient is φ = 63106560.

The previous prime is 167661287. The next prime is 167661331. The reversal of 167661320 is 23166761.

It is a super-2 number, since 2×167661320² = 56220636448284800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126260 + ... + 127580.

It is an arithmetic number, because the mean of its divisors is an integer number (6246450).

Almost surely, 2^167661320 is an apocalyptic number.

167661320 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 167661320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199886400).

167661320 is an abundant number, since it is smaller than the sum of its proper divisors (232111480).

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

167661320 is a wasteful number, since it uses less digits than its factorization.

167661320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 167661320 is about 12948.4099409928. The cubic root of 167661320 is about 551.4137951805.

The spelling of 167661320 in words is "one hundred sixty-seven million, six hundred sixty-one thousand, three hundred twenty".