19994880 has 144 divisors (see below), whose sum is σ = 65931264. Its totient is φ = 5160960.

The previous prime is 19994879. The next prime is 19994899. The reversal of 19994880 is 8849991.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157377 + ... + 157503.

It is an arithmetic number, because the mean of its divisors is an integer number (457856).

Almost surely, 2^19994880 is an apocalyptic number.

19994880 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 19994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32965632).

19994880 is an abundant number, since it is smaller than the sum of its proper divisors (45936384).

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

19994880 is a wasteful number, since it uses less digits than its factorization.

19994880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 19994880 is about 4471.5634849569. The cubic root of 19994880 is about 271.4185966523.

It can be divided in two parts, 199948 and 80, that added together give a triangular number (200028 = T₆₃₂).

The spelling of 19994880 in words is "nineteen million, nine hundred ninety-four thousand, eight hundred eighty".