20077408 has 72 divisors (see below), whose sum is σ = 45490032. Its totient is φ = 8669184.

The previous prime is 20077403. The next prime is 20077411. The reversal of 20077408 is 80477002.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20077403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120141 + ... + 120307.

It is an arithmetic number, because the mean of its divisors is an integer number (631806).

Almost surely, 2^20077408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20077408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22745016).

20077408 is an abundant number, since it is smaller than the sum of its proper divisors (25412624).

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

20077408 is a wasteful number, since it uses less digits than its factorization.

20077408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 20077408 is about 4480.7820745937. The cubic root of 20077408 is about 271.7915068936.

The spelling of 20077408 in words is "twenty million, seventy-seven thousand, four hundred eight".