5906833920 has 720 divisors, whose sum is σ = 23305273992. Its totient is φ = 1380188160.

The previous prime is 5906833913. The next prime is 5906833931. The reversal of 5906833920 is 293386095.

5906833920 is a `hidden beast` number, since 590 + 6 + 8 + 3 + 39 + 20 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 89415936 + 5817417984 = 9456^2 + 76272^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 144069100 + ... + 144069140.

Almost surely, 2^5906833920 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 5906833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11652636996).

5906833920 is an abundant number, since it is smaller than the sum of its proper divisors (17398440072).

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

5906833920 is a wasteful number, since it uses less digits than its factorization.

5906833920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 5906833920 is about 76855.9296346092. The cubic root of 5906833920 is about 1807.6662657037. Note that the first 3 decimals are identical.

The spelling of 5906833920 in words is "five billion, nine hundred six million, eight hundred thirty-three thousand, nine hundred twenty".