5829960 has 64 divisors (see below), whose sum is σ = 18417600. Its totient is φ = 1472256.

The previous prime is 5829937. The next prime is 5829961. The reversal of 5829960 is 699285.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5829961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1002 + ... + 3558.

It is an arithmetic number, because the mean of its divisors is an integer number (287775).

Almost surely, 2^5829960 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 5829960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9208800).

5829960 is an abundant number, since it is smaller than the sum of its proper divisors (12587640).

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

5829960 is a wasteful number, since it uses less digits than its factorization.

5829960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 5829960 is about 2414.5310103621. The cubic root of 5829960 is about 179.9790098981.

The spelling of 5829960 in words is "five million, eight hundred twenty-nine thousand, nine hundred sixty".