167986560 has 256 divisors, whose sum is σ = 634521600. Its totient is φ = 36986880.

The previous prime is 167986547. The next prime is 167986579. The reversal of 167986560 is 65689761.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389545 + ... + 389975.

It is an arithmetic number, because the mean of its divisors is an integer number (2478600).

Almost surely, 2^167986560 is an apocalyptic number.

167986560 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 167986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317260800).

167986560 is an abundant number, since it is smaller than the sum of its proper divisors (466535040).

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

167986560 is a wasteful number, since it uses less digits than its factorization.

167986560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 167986560 is about 12960.9629271902. The cubic root of 167986560 is about 551.7701206216.

The spelling of 167986560 in words is "one hundred sixty-seven million, nine hundred eighty-six thousand, five hundred sixty".