5835900 has 108 divisors (see below), whose sum is σ = 19691448. Its totient is φ = 1330560.

The previous prime is 5835871. The next prime is 5835923. The reversal of 5835900 is 95385.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 14502 + ... + 14898.

Almost surely, 2^5835900 is an apocalyptic number.

5835900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5835900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9845724).

5835900 is an abundant number, since it is smaller than the sum of its proper divisors (13855548).

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

5835900 is a wasteful number, since it uses less digits than its factorization.

5835900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 5835900 is about 2415.7607497432. The cubic root of 5835900 is about 180.0401145163.

The spelling of 5835900 in words is "five million, eight hundred thirty-five thousand, nine hundred".