20265984 has 88 divisors (see below), whose sum is σ = 60099920. Its totient is φ = 6746112.

The previous prime is 20265941. The next prime is 20265997. The reversal of 20265984 is 48956202.

It is a happy number.

It is a super-3 number, since 3×20265984³ (a number of 23 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27282 + ... + 28014.

Almost surely, 2^20265984 is an apocalyptic number.

20265984 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 20265984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30049960).

20265984 is an abundant number, since it is smaller than the sum of its proper divisors (39833936).

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

20265984 is an equidigital number, since it uses as much as digits as its factorization.

20265984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 738 counting only the distinct ones).

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

The square root of 20265984 is about 4501.7756496742. The cubic root of 20265984 is about 272.6397857566.

The spelling of 20265984 in words is "twenty million, two hundred sixty-five thousand, nine hundred eighty-four".