20864832 has 56 divisors (see below), whose sum is σ = 55546752. Its totient is φ = 6912000.

The previous prime is 20864827. The next prime is 20864843. The reversal of 20864832 is 23846802.

It is a super-4 number, since 4×20864832⁴ (a number of 30 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20864793 and 20864802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51832 + ... + 52232.

Almost surely, 2^20864832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20864832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27773376).

20864832 is an abundant number, since it is smaller than the sum of its proper divisors (34681920).

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

20864832 is a wasteful number, since it uses less digits than its factorization.

20864832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 20864832 is about 4567.8038486783. The cubic root of 20864832 is about 275.2992093183.

The spelling of 20864832 in words is "twenty million, eight hundred sixty-four thousand, eight hundred thirty-two".