19241920 has 56 divisors (see below), whose sum is σ = 46232064. Its totient is φ = 7627776.

The previous prime is 19241899. The next prime is 19241933. The reversal of 19241920 is 2914291.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50049 + ... + 50431.

Almost surely, 2^19241920 is an apocalyptic number.

19241920 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 19241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23116032).

19241920 is an abundant number, since it is smaller than the sum of its proper divisors (26990144).

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

19241920 is a wasteful number, since it uses less digits than its factorization.

19241920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 19241920 is about 4386.5612955936. The cubic root of 19241920 is about 267.9679177457.

It can be divided in two parts, 1924 and 1920, that added together give a square (3844 = 62²).

The spelling of 19241920 in words is "nineteen million, two hundred forty-one thousand, nine hundred twenty".