20534800 has 120 divisors (see below), whose sum is σ = 58121280. Its totient is φ = 6873600.

The previous prime is 20534783. The next prime is 20534807. The reversal of 20534800 is 843502.

It is a super-2 number, since 2×20534800² = 843356022080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (20534807) 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, 57021 + ... + 57379.

It is an arithmetic number, because the mean of its divisors is an integer number (484344).

Almost surely, 2^20534800 is an apocalyptic number.

20534800 is a gapful number since it is divisible by the number (20) 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 20534800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29060640).

20534800 is an abundant number, since it is smaller than the sum of its proper divisors (37586480).

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

20534800 is a wasteful number, since it uses less digits than its factorization.

20534800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 20534800 is about 4531.5339566200. The cubic root of 20534800 is about 273.8399619536.

The spelling of 20534800 in words is "twenty million, five hundred thirty-four thousand, eight hundred".