21633340 has 48 divisors (see below), whose sum is σ = 47900160. Its totient is φ = 8191040.

The previous prime is 21633329. The next prime is 21633349. The reversal of 21633340 is 4333612.

21633340 = T₃₉₀ + T₃₉₁ + ... + T₅₇₃.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21633349) by changing a digit.

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, 60081 + ... + 60439.

It is an arithmetic number, because the mean of its divisors is an integer number (997920).

Almost surely, 2^21633340 is an apocalyptic number.

21633340 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 21633340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23950080).

21633340 is an abundant number, since it is smaller than the sum of its proper divisors (26266820).

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

21633340 is a wasteful number, since it uses less digits than its factorization.

21633340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 21633340 is about 4651.1654453481. The cubic root of 21633340 is about 278.6385439240.

Adding to 21633340 its reverse (4333612), we get a palindrome (25966952).

The spelling of 21633340 in words is "twenty-one million, six hundred thirty-three thousand, three hundred forty".