4561680 has 80 divisors (see below), whose sum is σ = 14374080. Its totient is φ = 1196544.

The previous prime is 4561663. The next prime is 4561723. The reversal of 4561680 is 861654.

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 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, 19806 + ... + 20034.

It is an arithmetic number, because the mean of its divisors is an integer number (179676).

Almost surely, 2^4561680 is an apocalyptic number.

4561680 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 4561680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7187040).

4561680 is an abundant number, since it is smaller than the sum of its proper divisors (9812400).

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

4561680 is a wasteful number, since it uses less digits than its factorization.

4561680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 4561680 is about 2135.8089802227. The cubic root of 4561680 is about 165.8472490420.

Adding to 4561680 its sum of digits (30), we get a triangular number (4561710 = T₃₀₂₀).

The spelling of 4561680 in words is "four million, five hundred sixty-one thousand, six hundred eighty".