5998400 has 84 divisors (see below), whose sum is σ = 15496032. Its totient is φ = 2280960.

The previous prime is 5998393. The next prime is 5998409. The reversal of 5998400 is 48995.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5998409) 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, 36719 + ... + 36881.

Almost surely, 2^5998400 is an apocalyptic number.

5998400 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 5998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7748016).

5998400 is an abundant number, since it is smaller than the sum of its proper divisors (9497632).

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

5998400 is a wasteful number, since it uses less digits than its factorization.

5998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 193 counting only the distinct ones).

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

The square root of 5998400 is about 2449.1631223747. The cubic root of 5998400 is about 181.6959056642.

The spelling of 5998400 in words is "five million, nine hundred ninety-eight thousand, four hundred".