20611400 has 48 divisors (see below), whose sum is σ = 48227940. Its totient is φ = 8192000.

The previous prime is 20611399. The next prime is 20611403. The reversal of 20611400 is 411602.

It can be written as a sum of positive squares in 6 ways, for example, as 19307236 + 1304164 = 4394^2 + 1142^2 .

It is not an unprimeable number, because it can be changed into a prime (20611403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51200 + ... + 51600.

Almost surely, 2^20611400 is an apocalyptic number.

20611400 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 20611400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24113970).

20611400 is an abundant number, since it is smaller than the sum of its proper divisors (27616540).

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

20611400 is a wasteful number, since it uses less digits than its factorization.

20611400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 20611400 is about 4539.9779735148. The cubic root of 20611400 is about 274.1800368979.

The spelling of 20611400 in words is "twenty million, six hundred eleven thousand, four hundred".