20116440 has 192 divisors, whose sum is σ = 73288800. Its totient is φ = 4755456.

The previous prime is 20116429. The next prime is 20116441. The reversal of 20116440 is 4461102.

20116440 = T₃₉₉ + T₄₀₀ + ... + T₅₆₈.

20116440 is a `hidden beast` number, since 20 + 1 + 1 + 644 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20116441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116194 + ... + 116366.

Almost surely, 2^20116440 is an apocalyptic number.

20116440 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 20116440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36644400).

20116440 is an abundant number, since it is smaller than the sum of its proper divisors (53172360).

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

20116440 is a wasteful number, since it uses less digits than its factorization.

20116440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20116440 is about 4485.1354494597. The cubic root of 20116440 is about 271.9675206316.

Adding to 20116440 its reverse (4461102), we get a palindrome (24577542).

It can be divided in two parts, 201 and 16440, that added together give a square (16641 = 129²).

The spelling of 20116440 in words is "twenty million, one hundred sixteen thousand, four hundred forty".