20011600 has 90 divisors (see below), whose sum is σ = 55982094. Its totient is φ = 6854400.

The previous prime is 20011597. The next prime is 20011603. The reversal of 20011600 is 611002.

It is an interprime number because it is at equal distance from previous prime (20011597) and next prime (20011603).

It can be written as a sum of positive squares in 3 ways, for example, as 1658944 + 18352656 = 1288^2 + 4284^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011603) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19090 + ... + 20110.

Almost surely, 2^20011600 is an apocalyptic number.

20011600 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 20011600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27991047).

20011600 is an abundant number, since it is smaller than the sum of its proper divisors (35970494).

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

20011600 is a wasteful number, since it uses less digits than its factorization.

20011600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 20011600 is about 4473.4326864277. The cubic root of 20011600 is about 271.4942302575.

Adding to 20011600 its reverse (611002), we get a palindrome (20622602).

The spelling of 20011600 in words is "twenty million, eleven thousand, six hundred".