20968584 has 64 divisors (see below), whose sum is σ = 64525440. Its totient is φ = 5529600.

The previous prime is 20968583. The next prime is 20968613. The reversal of 20968584 is 48586902.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (20968583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2617 + ... + 6984.

It is an arithmetic number, because the mean of its divisors is an integer number (1008210).

Almost surely, 2^20968584 is an apocalyptic number.

20968584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20968584 is an abundant number, since it is smaller than the sum of its proper divisors (43556856).

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

20968584 is a wasteful number, since it uses less digits than its factorization.

20968584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9630 (or 9626 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 20968584 is about 4579.1466453915. The cubic root of 20968584 is about 275.7547706230.

The spelling of 20968584 in words is "twenty million, nine hundred sixty-eight thousand, five hundred eighty-four".