20001408 has 96 divisors (see below), whose sum is σ = 61860960. Its totient is φ = 5709312.

The previous prime is 20001389. The next prime is 20001439. The reversal of 20001408 is 80410002.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18285 + ... + 19347.

It is an arithmetic number, because the mean of its divisors is an integer number (644385).

Almost surely, 2^20001408 is an apocalyptic number.

20001408 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 20001408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30930480).

20001408 is an abundant number, since it is smaller than the sum of its proper divisors (41859552).

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

20001408 is a wasteful number, since it uses less digits than its factorization.

20001408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 20001408 is about 4472.2933714147. The cubic root of 20001408 is about 271.4481313434.

The spelling of 20001408 in words is "twenty million, one thousand, four hundred eight".