21742632 has 48 divisors (see below), whose sum is σ = 59136480. Its totient is φ = 7216800.

The previous prime is 21742627. The next prime is 21742691. The reversal of 21742632 is 23624712.

21742632 is a `hidden beast` number, since 21 + 7 + 4 + 2 + 632 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 21742596 and 21742605.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21907 + ... + 22877.

It is an arithmetic number, because the mean of its divisors is an integer number (1232010).

Almost surely, 2^21742632 is an apocalyptic number.

It is an amenable number.

21742632 is an abundant number, since it is smaller than the sum of its proper divisors (37393848).

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

21742632 is a wasteful number, since it uses less digits than its factorization.

21742632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1287 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 21742632 is about 4662.8995271183. The cubic root of 21742632 is about 279.1069848310.

It can be divided in two parts, 217 and 42632, that added together give a square (42849 = 207²).

The spelling of 21742632 in words is "twenty-one million, seven hundred forty-two thousand, six hundred thirty-two".