6998400 has 192 divisors, whose sum is σ = 25928400. Its totient is φ = 1866240.

The previous prime is 6998393. The next prime is 6998401. The reversal of 6998400 is 48996.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6998401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1399678 + ... + 1399682.

Almost surely, 2^6998400 is an apocalyptic number.

6998400 is a gapful number since it is divisible by the number (60) 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 6998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12964200).

6998400 is an abundant number, since it is smaller than the sum of its proper divisors (18930000).

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

6998400 is an frugal number, since it uses more digits than its factorization.

6998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6998400 is about 2645.4489222058. The cubic root of 6998400 is about 191.2785424529.

The spelling of 6998400 in words is "six million, nine hundred ninety-eight thousand, four hundred".