21635740 has 72 divisors (see below), whose sum is σ = 54462240. Its totient is φ = 7064064.

The previous prime is 21635717. The next prime is 21635743. The reversal of 21635740 is 4753612.

21635740 = 508² + 509² + ... + 580².

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 21635699 and 21635708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21635743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296344 + ... + 296416.

It is an arithmetic number, because the mean of its divisors is an integer number (756420).

Almost surely, 2^21635740 is an apocalyptic number.

21635740 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 21635740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27231120).

21635740 is an abundant number, since it is smaller than the sum of its proper divisors (32826500).

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

21635740 is a wasteful number, since it uses less digits than its factorization.

21635740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 21635740 is about 4651.4234380456. The cubic root of 21635740 is about 278.6488475846.

The spelling of 21635740 in words is "twenty-one million, six hundred thirty-five thousand, seven hundred forty".