5800416 has 96 divisors (see below), whose sum is σ = 16547328. Its totient is φ = 1774080.

The previous prime is 5800387. The next prime is 5800433. The reversal of 5800416 is 6140085.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81661 + ... + 81731.

It is an arithmetic number, because the mean of its divisors is an integer number (172368).

Almost surely, 2^5800416 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 5800416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8273664).

5800416 is an abundant number, since it is smaller than the sum of its proper divisors (10746912).

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

5800416 is a wasteful number, since it uses less digits than its factorization.

5800416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5800416 is about 2408.4052815089. The cubic root of 5800416 is about 179.6744733745.

It can be divided in two parts, 5800 and 416, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 5800416 in words is "five million, eight hundred thousand, four hundred sixteen".