21972384 has 180 divisors, whose sum is σ = 75604914. Its totient is φ = 6241536.

The previous prime is 21972373. The next prime is 21972407. The reversal of 21972384 is 48327912.

It can be written as a sum of positive squares in only one way, i.e., 14288400 + 7683984 = 3780^2 + 2772^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 29 ways as a sum of consecutive naturals, for example, 126922 + ... + 127094.

Almost surely, 2^21972384 is an apocalyptic number.

21972384 is a gapful number since it is divisible by the number (24) 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 21972384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37802457).

21972384 is an abundant number, since it is smaller than the sum of its proper divisors (53632530).

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

21972384 is a wasteful number, since it uses less digits than its factorization.

21972384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 185 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 21972384 is about 4687.4709599100. The cubic root of 21972384 is about 280.0866398551.

The spelling of 21972384 in words is "twenty-one million, nine hundred seventy-two thousand, three hundred eighty-four".