19212880 has 40 divisors (see below), whose sum is σ = 45021672. Its totient is φ = 7624704.

The previous prime is 19212841. The next prime is 19212883. The reversal of 19212880 is 8821291.

It is a happy number.

19212880 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 63504 + 19149376 = 252^2 + 4376^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19212883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10084 + ... + 11836.

Almost surely, 2^19212880 is an apocalyptic number.

19212880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19212880 is the 2192-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19212880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22510836).

19212880 is an abundant number, since it is smaller than the sum of its proper divisors (25808792).

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

19212880 is a wasteful number, since it uses less digits than its factorization.

19212880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 19212880 is about 4383.2499358353. The cubic root of 19212880 is about 267.8330437070.

The spelling of 19212880 in words is "nineteen million, two hundred twelve thousand, eight hundred eighty".