21631140 has 72 divisors (see below), whose sum is σ = 69483960. Its totient is φ = 5428224.

The previous prime is 21631121. The next prime is 21631171. The reversal of 21631140 is 4113612.

It is a happy number.

21631140 is a `hidden beast` number, since 21 + 631 + 14 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3175524 + 18455616 = 1782^2 + 4296^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 475 + ... + 6594.

It is an arithmetic number, because the mean of its divisors is an integer number (965055).

Almost surely, 2^21631140 is an apocalyptic number.

21631140 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 21631140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34741980).

21631140 is an abundant number, since it is smaller than the sum of its proper divisors (47852820).

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

21631140 is a wasteful number, since it uses less digits than its factorization.

21631140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7101 (or 7096 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 21631140 is about 4650.9289394700. The cubic root of 21631140 is about 278.6290982323.

Adding to 21631140 its reverse (4113612), we get a palindrome (25744752).

The spelling of 21631140 in words is "twenty-one million, six hundred thirty-one thousand, one hundred forty".