21267680 has 96 divisors (see below), whose sum is σ = 60854976. Its totient is φ = 6856704.

The previous prime is 21267679. The next prime is 21267683. The reversal of 21267680 is 8676212.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21267683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18482 + ... + 19598.

It is an arithmetic number, because the mean of its divisors is an integer number (633906).

Almost surely, 2^21267680 is an apocalyptic number.

21267680 is a gapful number since it is divisible by the number (20) 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 21267680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30427488).

21267680 is an abundant number, since it is smaller than the sum of its proper divisors (39587296).

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

21267680 is a wasteful number, since it uses less digits than its factorization.

21267680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 21267680 is about 4611.6894951850. The cubic root of 21267680 is about 277.0597081383.

The spelling of 21267680 in words is "twenty-one million, two hundred sixty-seven thousand, six hundred eighty".