4586880 has 64 divisors (see below), whose sum is σ = 14626800. Its totient is φ = 1222656.

The previous prime is 4586863. The next prime is 4586891. The reversal of 4586880 is 886854.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 726 + ... + 3114.

Almost surely, 2^4586880 is an apocalyptic number.

4586880 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 4586880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7313400).

4586880 is an abundant number, since it is smaller than the sum of its proper divisors (10039920).

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

4586880 is a wasteful number, since it uses less digits than its factorization.

4586880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 4586880 is about 2141.7002591399. The cubic root of 4586880 is about 166.1520839741.

The spelling of 4586880 in words is "four million, five hundred eighty-six thousand, eight hundred eighty".