167985240 has 64 divisors (see below), whose sum is σ = 506239200. Its totient is φ = 44593152.

The previous prime is 167985239. The next prime is 167985247. The reversal of 167985240 is 42589761.

167985240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 167985192 and 167985201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167985247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24424 + ... + 30536.

Almost surely, 2^167985240 is an apocalyptic number.

167985240 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 167985240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253119600).

167985240 is an abundant number, since it is smaller than the sum of its proper divisors (338253960).

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

167985240 is a wasteful number, since it uses less digits than its factorization.

167985240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6356 (or 6352 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 167985240 is about 12960.9120049478. The cubic root of 167985240 is about 551.7686753899.

The spelling of 167985240 in words is "one hundred sixty-seven million, nine hundred eighty-five thousand, two hundred forty".