20414688 has 96 divisors (see below), whose sum is σ = 64882944. Its totient is φ = 5486592.

The previous prime is 20414677. The next prime is 20414707. The reversal of 20414688 is 88641402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×20414688² = 833518972274688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10531 + ... + 12317.

It is an arithmetic number, because the mean of its divisors is an integer number (675864).

Almost surely, 2^20414688 is an apocalyptic number.

20414688 is a gapful number since it is divisible by the number (28) 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 20414688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32441472).

20414688 is an abundant number, since it is smaller than the sum of its proper divisors (44468256).

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

20414688 is a wasteful number, since it uses less digits than its factorization.

20414688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 20414688 is about 4518.2616126116. The cubic root of 20414688 is about 273.3050033431.

The spelling of 20414688 in words is "twenty million, four hundred fourteen thousand, six hundred eighty-eight".