21480624 has 120 divisors (see below), whose sum is σ = 66852864. Its totient is φ = 6384000.

The previous prime is 21480611. The next prime is 21480637. The reversal of 21480624 is 42608412.

It is an interprime number because it is at equal distance from previous prime (21480611) and next prime (21480637).

It is a super-2 number, since 2×21480624² = 922834414858752, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 112369 + ... + 112559.

Almost surely, 2^21480624 is an apocalyptic number.

21480624 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 21480624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33426432).

21480624 is an abundant number, since it is smaller than the sum of its proper divisors (45372240).

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

21480624 is a wasteful number, since it uses less digits than its factorization.

21480624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 21480624 is about 4634.7194089826. The cubic root of 21480624 is about 277.9813316657.

The spelling of 21480624 in words is "twenty-one million, four hundred eighty thousand, six hundred twenty-four".