20414160 has 160 divisors (see below), whose sum is σ = 75828480. Its totient is φ = 5018112.

The previous prime is 20414129. The next prime is 20414171. The reversal of 20414160 is 6141402.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27717 + ... + 28443.

It is an arithmetic number, because the mean of its divisors is an integer number (473928).

Almost surely, 2^20414160 is an apocalyptic number.

20414160 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 20414160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37914240).

20414160 is an abundant number, since it is smaller than the sum of its proper divisors (55414320).

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

20414160 is a wasteful number, since it uses less digits than its factorization.

20414160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 750 counting only the distinct ones).

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

The square root of 20414160 is about 4518.2031826822. The cubic root of 20414160 is about 273.3026470938.

Adding to 20414160 its reverse (6141402), we get a palindrome (26555562).

The spelling of 20414160 in words is "twenty million, four hundred fourteen thousand, one hundred sixty".