4182816 has 96 divisors (see below), whose sum is σ = 12737088. Its totient is φ = 1187840.

The previous prime is 4182809. The next prime is 4182821. The reversal of 4182816 is 6182814.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 17836 + ... + 18068.

It is an arithmetic number, because the mean of its divisors is an integer number (132678).

Almost surely, 2^4182816 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 4182816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6368544).

4182816 is an abundant number, since it is smaller than the sum of its proper divisors (8554272).

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

4182816 is a wasteful number, since it uses less digits than its factorization.

4182816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 4182816 is about 2045.1933893889. The cubic root of 4182816 is about 161.1225228892.

The spelling of 4182816 in words is "four million, one hundred eighty-two thousand, eight hundred sixteen".