4618080 has 96 divisors (see below), whose sum is σ = 16178400. Its totient is φ = 1230336.

The previous prime is 4618069. The next prime is 4618091. The reversal of 4618080 is 808164.

4618080 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4618069) and next prime (4618091).

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3786 + ... + 4854.

It is an arithmetic number, because the mean of its divisors is an integer number (168525).

Almost surely, 2^4618080 is an apocalyptic number.

4618080 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 4618080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8089200).

4618080 is an abundant number, since it is smaller than the sum of its proper divisors (11560320).

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

4618080 is a wasteful number, since it uses less digits than its factorization.

4618080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 4618080 is about 2148.9718471865. The cubic root of 4618080 is about 166.5279556987.

The spelling of 4618080 in words is "four million, six hundred eighteen thousand, eighty".