4182960 has 80 divisors (see below), whose sum is σ = 13436640. Its totient is φ = 1075200.

The previous prime is 4182949. The next prime is 4182979. The reversal of 4182960 is 692814.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 6660 + ... + 7260.

It is an arithmetic number, because the mean of its divisors is an integer number (167958).

Almost surely, 2^4182960 is an apocalyptic number.

4182960 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 4182960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6718320).

4182960 is an abundant number, since it is smaller than the sum of its proper divisors (9253680).

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

4182960 is a wasteful number, since it uses less digits than its factorization.

4182960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 4182960 is about 2045.2285935807. The cubic root of 4182960 is about 161.1243718332.

The spelling of 4182960 in words is "four million, one hundred eighty-two thousand, nine hundred sixty".