19920680 has 64 divisors (see below), whose sum is σ = 49971600. Its totient is φ = 7096320.

The previous prime is 19920673. The next prime is 19920707. The reversal of 19920680 is 8602991.

It can be written as a sum of positive squares in 8 ways, for example, as 9972964 + 9947716 = 3158^2 + 3154^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 19920680.

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, 14420 + ... + 15740.

Almost surely, 2^19920680 is an apocalyptic number.

19920680 is a gapful number since it is divisible by the number (10) 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 19920680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24985800).

19920680 is an abundant number, since it is smaller than the sum of its proper divisors (30050920).

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

19920680 is a wasteful number, since it uses less digits than its factorization.

19920680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 19920680 is about 4463.2588990557. The cubic root of 19920680 is about 271.0824402081.

The spelling of 19920680 in words is "nineteen million, nine hundred twenty thousand, six hundred eighty".