21742320 has 120 divisors (see below), whose sum is σ = 72356976. Its totient is φ = 5382144.

The previous prime is 21742319. The next prime is 21742333. The reversal of 21742320 is 2324712.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297804 + ... + 297876.

Almost surely, 2^21742320 is an apocalyptic number.

21742320 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 21742320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36178488).

21742320 is an abundant number, since it is smaller than the sum of its proper divisors (50614656).

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

21742320 is a wasteful number, since it uses less digits than its factorization.

21742320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 21742320 is about 4662.8660714200. The cubic root of 21742320 is about 279.1056497918.

The spelling of 21742320 in words is "twenty-one million, seven hundred forty-two thousand, three hundred twenty".