22605984 has 72 divisors (see below), whose sum is σ = 65542932. Its totient is φ = 7388160.

The previous prime is 22605949. The next prime is 22606019. The reversal of 22605984 is 48950622.

It is a happy number.

22605984 is a `hidden beast` number, since 2 + 2 + 60 + 598 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (22605949) and next prime (22606019).

It can be written as a sum of positive squares in 2 ways, for example, as 22467600 + 138384 = 4740^2 + 372^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×22605984² = 1022061025216512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 14524 + ... + 16004.

Almost surely, 2^22605984 is an apocalyptic number.

22605984 is a gapful number since it is divisible by the number (24) 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 22605984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32771466).

22605984 is an abundant number, since it is smaller than the sum of its proper divisors (42936948).

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

22605984 is a wasteful number, since it uses less digits than its factorization.

22605984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 22605984 is about 4754.5750598765. The cubic root of 22605984 is about 282.7533801049.

The spelling of 22605984 in words is "twenty-two million, six hundred five thousand, nine hundred eighty-four".