19922720 has 48 divisors (see below), whose sum is σ = 48231288. Its totient is φ = 7772160.

The previous prime is 19922713. The next prime is 19922723. The reversal of 19922720 is 2722991.

It can be written as a sum of positive squares in 4 ways, for example, as 14409616 + 5513104 = 3796^2 + 2348^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (19922723) 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, 5042 + ... + 8078.

Almost surely, 2^19922720 is an apocalyptic number.

19922720 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 19922720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24115644).

19922720 is an abundant number, since it is smaller than the sum of its proper divisors (28308568).

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

19922720 is a wasteful number, since it uses less digits than its factorization.

19922720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 19922720 is about 4463.4874257692. The cubic root of 19922720 is about 271.0916933946.

The spelling of 19922720 in words is "nineteen million, nine hundred twenty-two thousand, seven hundred twenty".