20110400 has 42 divisors (see below), whose sum is σ = 49488090. Its totient is φ = 8043520.

The previous prime is 20110399. The next prime is 20110411. The reversal of 20110400 is 401102.

It can be written as a sum of positive squares in 3 ways, for example, as 6390784 + 13719616 = 2528^2 + 3704^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4685 + ... + 7884.

Almost surely, 2^20110400 is an apocalyptic number.

20110400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20110400 is an abundant number, since it is smaller than the sum of its proper divisors (29377690).

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

20110400 is a wasteful number, since it uses less digits than its factorization.

20110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12591 (or 12576 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 20110400 is about 4484.4620636148. The cubic root of 20110400 is about 271.9402983156.

Adding to 20110400 its reverse (401102), we get a palindrome (20511502).

It can be divided in two parts, 201 and 10400, that added together give a palindrome (10601).

The spelling of 20110400 in words is "twenty million, one hundred ten thousand, four hundred".