5880006 has 64 divisors (see below), whose sum is σ = 15033600. Its totient is φ = 1684800.

The previous prime is 5879983. The next prime is 5880023. The reversal of 5880006 is 6000885.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11026 + ... + 11546.

It is an arithmetic number, because the mean of its divisors is an integer number (234900).

Almost surely, 2^5880006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5880006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7516800).

5880006 is an abundant number, since it is smaller than the sum of its proper divisors (9153594).

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

5880006 is a wasteful number, since it uses less digits than its factorization.

5880006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5880006 is about 2424.8723677753. The cubic root of 5880006 is about 180.4925399065.

The spelling of 5880006 in words is "five million, eight hundred eighty thousand, six".