5806305960 has 288 divisors, whose sum is σ = 21945155040. Its totient is φ = 1224857088.

The previous prime is 5806305949. The next prime is 5806305971. The reversal of 5806305960 is 695036085.

It is an interprime number because it is at equal distance from previous prime (5806305949) and next prime (5806305971).

It is a super-2 number, since 2×5806305960² = 67426377802263043200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 990799 + ... + 996641.

It is an arithmetic number, because the mean of its divisors is an integer number (76198455).

Almost surely, 2^5806305960 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 5806305960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10972577520).

5806305960 is an abundant number, since it is smaller than the sum of its proper divisors (16138849080).

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

5806305960 is a wasteful number, since it uses less digits than its factorization.

5806305960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5897 (or 5873 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 5806305960 is about 76199.1204673650. The cubic root of 5806305960 is about 1797.3526886794.

The spelling of 5806305960 in words is "five billion, eight hundred six million, three hundred five thousand, nine hundred sixty".