5209680 has 120 divisors (see below), whose sum is σ = 18829152. Its totient is φ = 1188096.

The previous prime is 5209679. The next prime is 5209709. The reversal of 5209680 is 869025.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

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, 11539 + ... + 11981.

Almost surely, 2^5209680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5209680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9414576).

5209680 is an abundant number, since it is smaller than the sum of its proper divisors (13619472).

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

5209680 is a wasteful number, since it uses less digits than its factorization.

5209680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 5209680 is about 2282.4723437536. The cubic root of 5209680 is about 173.3552569245.

The spelling of 5209680 in words is "five million, two hundred nine thousand, six hundred eighty".