5938100 has 72 divisors (see below), whose sum is σ = 15624000. Its totient is φ = 1912320.

The previous prime is 5938091. The next prime is 5938103. The reversal of 5938100 is 18395.

It is a super-2 number, since 2×5938100² = 70522063220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5938100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5938103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11651 + ... + 12149.

It is an arithmetic number, because the mean of its divisors is an integer number (217000).

Almost surely, 2^5938100 is an apocalyptic number.

5938100 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 5938100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7812000).

5938100 is an abundant number, since it is smaller than the sum of its proper divisors (9685900).

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

5938100 is a wasteful number, since it uses less digits than its factorization.

5938100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 5938100 is about 2436.8217004943. The cubic root of 5938100 is about 181.0850103808.

The spelling of 5938100 in words is "five million, nine hundred thirty-eight thousand, one hundred".