21690840 has 128 divisors (see below), whose sum is σ = 70502400. Its totient is φ = 5322240.

The previous prime is 21690821. The next prime is 21690853. The reversal of 21690840 is 4809612.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21690798 and 21690807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79905 + ... + 80175.

It is an arithmetic number, because the mean of its divisors is an integer number (550800).

Almost surely, 2^21690840 is an apocalyptic number.

21690840 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 21690840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35251200).

21690840 is an abundant number, since it is smaller than the sum of its proper divisors (48811560).

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

21690840 is a wasteful number, since it uses less digits than its factorization.

21690840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 21690840 is about 4657.3425899326. The cubic root of 21690840 is about 278.8851931902.

The spelling of 21690840 in words is "twenty-one million, six hundred ninety thousand, eight hundred forty".