4179960 has 96 divisors (see below), whose sum is σ = 14405040. Its totient is φ = 1047552.

The previous prime is 4179953. The next prime is 4179971. The reversal of 4179960 is 699714.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5779 + ... + 6461.

Almost surely, 2^4179960 is an apocalyptic number.

4179960 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 4179960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7202520).

4179960 is an abundant number, since it is smaller than the sum of its proper divisors (10225080).

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

4179960 is a wasteful number, since it uses less digits than its factorization.

4179960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 4179960 is about 2044.4950476829. The cubic root of 4179960 is about 161.0858433972.

The spelling of 4179960 in words is "four million, one hundred seventy-nine thousand, nine hundred sixty".