5798100 has 144 divisors (see below), whose sum is σ = 20998656. Its totient is φ = 1200000.

The previous prime is 5798099. The next prime is 5798101. The reversal of 5798100 is 18975.

It is an interprime number because it is at equal distance from previous prime (5798099) and next prime (5798101).

It is a super-2 number, since 2×5798100² = 67235927220000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5798101) 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 47 ways as a sum of consecutive naturals, for example, 22975 + ... + 23225.

It is an arithmetic number, because the mean of its divisors is an integer number (145824).

Almost surely, 2^5798100 is an apocalyptic number.

5798100 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 5798100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10499328).

5798100 is an abundant number, since it is smaller than the sum of its proper divisors (15200556).

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

5798100 is a wasteful number, since it uses less digits than its factorization.

5798100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 5798100 is about 2407.9244174185. The cubic root of 5798100 is about 179.6505566142.

The spelling of 5798100 in words is "five million, seven hundred ninety-eight thousand, one hundred".