19220880 has 160 divisors (see below), whose sum is σ = 72209664. Its totient is φ = 4128768.

The previous prime is 19220849. The next prime is 19220921. The reversal of 19220880 is 8802291.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28224 + ... + 28896.

Almost surely, 2^19220880 is an apocalyptic number.

19220880 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 19220880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36104832).

19220880 is an abundant number, since it is smaller than the sum of its proper divisors (52988784).

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

19220880 is a wasteful number, since it uses less digits than its factorization.

19220880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 19220880 is about 4384.1624057510. The cubic root of 19220880 is about 267.8702126448.

It can be divided in two parts, 19220 and 880, that added together give a triangular number (20100 = T₂₀₀).

The spelling of 19220880 in words is "nineteen million, two hundred twenty thousand, eight hundred eighty".