4167960 has 64 divisors (see below), whose sum is σ = 12787200. Its totient is φ = 1086336.

The previous prime is 4167953. The next prime is 4167979. The reversal of 4167960 is 697614.

It is a happy number.

It is an Ulam number.

It is a congruent number.

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, 5271 + ... + 6009.

It is an arithmetic number, because the mean of its divisors is an integer number (199800).

Almost surely, 2^4167960 is an apocalyptic number.

4167960 is a gapful number since it is divisible by the number (40) 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 4167960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6393600).

4167960 is an abundant number, since it is smaller than the sum of its proper divisors (8619240).

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

4167960 is a wasteful number, since it uses less digits than its factorization.

4167960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 4167960 is about 2041.5582284128. The cubic root of 4167960 is about 160.9315450400.

The spelling of 4167960 in words is "four million, one hundred sixty-seven thousand, nine hundred sixty".