4581840 has 80 divisors (see below), whose sum is σ = 15052608. Its totient is φ = 1148928.

The previous prime is 4581839. The next prime is 4581859. The reversal of 4581840 is 481854.

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 a junction number, because it is equal to n+sod(n) for n = 4581798 and 4581807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3519 + ... + 4641.

Almost surely, 2^4581840 is an apocalyptic number.

4581840 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 4581840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7526304).

4581840 is an abundant number, since it is smaller than the sum of its proper divisors (10470768).

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

4581840 is a wasteful number, since it uses less digits than its factorization.

4581840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 4581840 is about 2140.5233005039. The cubic root of 4581840 is about 166.0912064713.

The spelling of 4581840 in words is "four million, five hundred eighty-one thousand, eight hundred forty".