21629940 has 96 divisors (see below), whose sum is σ = 64834560. Its totient is φ = 5376000.

The previous prime is 21629921. The next prime is 21629947. The reversal of 21629940 is 4992612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21629947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53740 + ... + 54140.

It is an arithmetic number, because the mean of its divisors is an integer number (675360).

Almost surely, 2^21629940 is an apocalyptic number.

21629940 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 21629940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32417280).

21629940 is an abundant number, since it is smaller than the sum of its proper divisors (43204620).

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

21629940 is a wasteful number, since it uses less digits than its factorization.

21629940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 21629940 is about 4650.7999311946. The cubic root of 21629940 is about 278.6239457669.

The spelling of 21629940 in words is "twenty-one million, six hundred twenty-nine thousand, nine hundred forty".