20864116 has 72 divisors (see below), whose sum is σ = 47491584. Its totient is φ = 7801920.

The previous prime is 20864101. The next prime is 20864119. The reversal of 20864116 is 61146802.

It is a super-2 number, since 2×20864116² = 870622672922912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20864119) 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, 485191 + ... + 485233.

Almost surely, 2^20864116 is an apocalyptic number.

20864116 is a gapful number since it is divisible by the number (26) 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 20864116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23745792).

20864116 is an abundant number, since it is smaller than the sum of its proper divisors (26627468).

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

20864116 is a wasteful number, since it uses less digits than its factorization.

20864116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 20864116 is about 4567.7254733620. The cubic root of 20864116 is about 275.2960602157.

The spelling of 20864116 in words is "twenty million, eight hundred sixty-four thousand, one hundred sixteen".