5984900 has 36 divisors (see below), whose sum is σ = 13142388. Its totient is φ = 2365440.

The previous prime is 5984879. The next prime is 5984903. The reversal of 5984900 is 94895.

5984900 = T₁₄₅ + T₁₄₆ + ... + T₃₃₈.

It can be written as a sum of positive squares in 6 ways, for example, as 1249924 + 4734976 = 1118^2 + 2176^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5984903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9392 + ... + 10008.

Almost surely, 2^5984900 is an apocalyptic number.

5984900 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 5984900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6571194).

5984900 is an abundant number, since it is smaller than the sum of its proper divisors (7157488).

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

5984900 is a wasteful number, since it uses less digits than its factorization.

5984900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 5984900 is about 2446.4055264817. The cubic root of 5984900 is about 181.5594949996.

The spelling of 5984900 in words is "five million, nine hundred eighty-four thousand, nine hundred".