5840100 has 180 divisors, whose sum is σ = 21845824. Its totient is φ = 1321920.

The previous prime is 5840099. The next prime is 5840101. The reversal of 5840100 is 10485.

It is an interprime number because it is at equal distance from previous prime (5840099) and next prime (5840101).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5840101) 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 59 ways as a sum of consecutive naturals, for example, 56649 + ... + 56751.

Almost surely, 2^5840100 is an apocalyptic number.

5840100 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 5840100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10922912).

5840100 is an abundant number, since it is smaller than the sum of its proper divisors (16005724).

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

5840100 is a wasteful number, since it uses less digits than its factorization.

5840100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5840100 is about 2416.6298847776. The cubic root of 5840100 is about 180.0832947828.

Adding to 5840100 its reverse (10485), we get a palindrome (5850585).

The spelling of 5840100 in words is "five million, eight hundred forty thousand, one hundred".