21267456 has 176 divisors, whose sum is σ = 69172224. Its totient is φ = 5677056.

The previous prime is 21267451. The next prime is 21267461. The reversal of 21267456 is 65476212.

21267456 = T₉₇₃ + T₉₇₄ + ... + T₁₀₁₅.

It is an interprime number because it is at equal distance from previous prime (21267451) and next prime (21267461).

Its product of digits (20160) is a multiple of the sum of its prime factors (96).

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (21267451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494571 + ... + 494613.

It is an arithmetic number, because the mean of its divisors is an integer number (393024).

Almost surely, 2^21267456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21267456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34586112).

21267456 is an abundant number, since it is smaller than the sum of its proper divisors (47904768).

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

21267456 is a wasteful number, since it uses less digits than its factorization.

21267456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 78 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 21267456 is about 4611.6652090107. The cubic root of 21267456 is about 277.0587354324.

The spelling of 21267456 in words is "twenty-one million, two hundred sixty-seven thousand, four hundred fifty-six".