20814240 has 96 divisors (see below), whose sum is σ = 66358656. Its totient is φ = 5483520.

The previous prime is 20814203. The next prime is 20814251. The reversal of 20814240 is 4241802.

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

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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, 49230 + ... + 49650.

It is an arithmetic number, because the mean of its divisors is an integer number (691236).

Almost surely, 2^20814240 is an apocalyptic number.

20814240 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 20814240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33179328).

20814240 is an abundant number, since it is smaller than the sum of its proper divisors (45544416).

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

20814240 is a wasteful number, since it uses less digits than its factorization.

20814240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 20814240 is about 4562.2625965632. The cubic root of 20814240 is about 275.0765186516.

The spelling of 20814240 in words is "twenty million, eight hundred fourteen thousand, two hundred forty".