21219264 has 168 divisors, whose sum is σ = 70609968. Its totient is φ = 6021120.

The previous prime is 21219259. The next prime is 21219269. The reversal of 21219264 is 46291212.

It is an interprime number because it is at equal distance from previous prime (21219259) and next prime (21219269).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21219269) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 107614 + ... + 107810.

Almost surely, 2^21219264 is an apocalyptic number.

21219264 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 21219264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35304984).

21219264 is an abundant number, since it is smaller than the sum of its proper divisors (49390704).

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

21219264 is a wasteful number, since it uses less digits than its factorization.

21219264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 230 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 21219264 is about 4606.4372350006. The cubic root of 21219264 is about 276.8493057055.

The spelling of 21219264 in words is "twenty-one million, two hundred nineteen thousand, two hundred sixty-four".