20114640 has 240 divisors, whose sum is σ = 83411328. Its totient is φ = 4230144.

The previous prime is 20114573. The next prime is 20114651. The reversal of 20114640 is 4641102.

20114640 is a `hidden beast` number, since 20 + 1 + 1 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 65367 + ... + 65673.

Almost surely, 2^20114640 is an apocalyptic number.

20114640 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 20114640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41705664).

20114640 is an abundant number, since it is smaller than the sum of its proper divisors (63296688).

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

20114640 is a wasteful number, since it uses less digits than its factorization.

20114640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 337 counting only the distinct ones).

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

The square root of 20114640 is about 4484.9347821345. The cubic root of 20114640 is about 271.9594085909.

Adding to 20114640 its reverse (4641102), we get a palindrome (24755742).

It can be divided in two parts, 201 and 14640, that added together give a palindrome (14841).

The spelling of 20114640 in words is "twenty million, one hundred fourteen thousand, six hundred forty".