21833520 has 80 divisors (see below), whose sum is σ = 70040160. Its totient is φ = 5619712.

The previous prime is 21833503. The next prime is 21833531. The reversal of 21833520 is 2533812.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 5392 + ... + 8528.

It is an arithmetic number, because the mean of its divisors is an integer number (875502).

Almost surely, 2^21833520 is an apocalyptic number.

21833520 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 21833520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35020080).

21833520 is an abundant number, since it is smaller than the sum of its proper divisors (48206640).

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

21833520 is a wasteful number, since it uses less digits than its factorization.

21833520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3182 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 21833520 is about 4672.6352307879. The cubic root of 21833520 is about 279.4953495065.

The spelling of 21833520 in words is "twenty-one million, eight hundred thirty-three thousand, five hundred twenty".