506836880 has 80 divisors (see below), whose sum is σ = 1309898304. Its totient is φ = 180810240.

The previous prime is 506836877. The next prime is 506836907. The reversal of 506836880 is 88638605.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 41207 + ... + 52073.

Almost surely, 2^506836880 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 506836880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654949152).

506836880 is an abundant number, since it is smaller than the sum of its proper divisors (803061424).

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

506836880 is a wasteful number, since it uses less digits than its factorization.

506836880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10944 (or 10938 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 506836880 is about 22513.0380002344. The cubic root of 506836880 is about 797.3017847745.

The spelling of 506836880 in words is "five hundred six million, eight hundred thirty-six thousand, eight hundred eighty".