21998592 has 264 divisors, whose sum is σ = 81748992. Its totient is φ = 5529600.

The previous prime is 21998573. The next prime is 21998593. The reversal of 21998592 is 29589912.

It is a tau number, because it is divible by the number of its divisors (264).

Its product of digits (116640) is a multiple of the sum of its prime divisors (54).

It is not an unprimeable number, because it can be changed into a prime (21998593) 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, 709617 + ... + 709647.

Almost surely, 2^21998592 is an apocalyptic number.

21998592 is a gapful number since it is divisible by the number (22) 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 21998592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40874496).

21998592 is an abundant number, since it is smaller than the sum of its proper divisors (59750400).

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

21998592 is a wasteful number, since it uses less digits than its factorization.

21998592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 54 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 21998592 is about 4690.2656641175. The cubic root of 21998592 is about 280.1979552541.

The spelling of 21998592 in words is "twenty-one million, nine hundred ninety-eight thousand, five hundred ninety-two".