167666436 has 180 divisors, whose sum is σ = 521413200. Its totient is φ = 46829664.

The previous prime is 167666419. The next prime is 167666441. The reversal of 167666436 is 634666761.

167666436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×167666436³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 167666391 and 167666400.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 936595 + ... + 936773.

It is an arithmetic number, because the mean of its divisors is an integer number (2896740).

Almost surely, 2^167666436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167666436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260706600).

167666436 is an abundant number, since it is smaller than the sum of its proper divisors (353746764).

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

167666436 is a wasteful number, since it uses less digits than its factorization.

167666436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 250 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 167666436 is about 12948.6074926997. The cubic root of 167666436 is about 551.4194037178.

The spelling of 167666436 in words is "one hundred sixty-seven million, six hundred sixty-six thousand, four hundred thirty-six".