4182640 has 120 divisors (see below), whose sum is σ = 12467952. Its totient is φ = 1290240.

The previous prime is 4182631. The next prime is 4182667. The reversal of 4182640 is 462814.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43072 + ... + 43168.

Almost surely, 2^4182640 is an apocalyptic number.

4182640 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 4182640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6233976).

4182640 is an abundant number, since it is smaller than the sum of its proper divisors (8285312).

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

4182640 is a wasteful number, since it uses less digits than its factorization.

4182640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 4182640 is about 2045.1503612204. The cubic root of 4182640 is about 161.1202630112.

The spelling of 4182640 in words is "four million, one hundred eighty-two thousand, six hundred forty".