20538864 has 120 divisors (see below), whose sum is σ = 61281792. Its totient is φ = 6410880.

The previous prime is 20538863. The next prime is 20538871. The reversal of 20538864 is 46883502.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20538863) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 191899 + ... + 192005.

Almost surely, 2^20538864 is an apocalyptic number.

20538864 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 20538864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30640896).

20538864 is an abundant number, since it is smaller than the sum of its proper divisors (40742928).

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

20538864 is a wasteful number, since it uses less digits than its factorization.

20538864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 20538864 is about 4531.9823477150. The cubic root of 20538864 is about 273.8580257964.

The spelling of 20538864 in words is "twenty million, five hundred thirty-eight thousand, eight hundred sixty-four".