5948800 has 144 divisors (see below), whose sum is σ = 17359380. Its totient is φ = 1996800.

The previous prime is 5948791. The next prime is 5948821. The reversal of 5948800 is 88495.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 457594 + ... + 457606.

Almost surely, 2^5948800 is an apocalyptic number.

5948800 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 5948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8679690).

5948800 is an abundant number, since it is smaller than the sum of its proper divisors (11410580).

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

5948800 is a wasteful number, since it uses less digits than its factorization.

5948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 5948800 is about 2439.0161951082. The cubic root of 5948800 is about 181.1937122083.

The spelling of 5948800 in words is "five million, nine hundred forty-eight thousand, eight hundred".