4181680 has 40 divisors (see below), whose sum is σ = 9811872. Its totient is φ = 1657344.

The previous prime is 4181669. The next prime is 4181693. The reversal of 4181680 is 861814.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13204 + ... + 13516.

Almost surely, 2^4181680 is an apocalyptic number.

4181680 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 4181680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4905936).

4181680 is an abundant number, since it is smaller than the sum of its proper divisors (5630192).

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

4181680 is a wasteful number, since it uses less digits than its factorization.

4181680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 4181680 is about 2044.9156461820. The cubic root of 4181680 is about 161.1079352877.

The spelling of 4181680 in words is "four million, one hundred eighty-one thousand, six hundred eighty".