20077434 has 48 divisors (see below), whose sum is σ = 47174400. Its totient is φ = 6134688.

The previous prime is 20077427. The next prime is 20077439. The reversal of 20077434 is 43477002.

It is a junction number, because it is equal to n+sod(n) for n = 20077398 and 20077407.

It is not an unprimeable number, because it can be changed into a prime (20077439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55747 + ... + 56105.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 2^20077434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20077434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).

20077434 is an abundant number, since it is smaller than the sum of its proper divisors (27096966).

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

20077434 is a wasteful number, since it uses less digits than its factorization.

20077434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 20077434 is about 4480.7849758720. The cubic root of 20077434 is about 271.7916242158.

The spelling of 20077434 in words is "twenty million, seventy-seven thousand, four hundred thirty-four".