5964800 has 66 divisors (see below), whose sum is σ = 14848938. Its totient is φ = 2375680.

The previous prime is 5964793. The next prime is 5964811. The reversal of 5964800 is 84695.

It can be written as a sum of positive squares in 3 ways, for example, as 50176 + 5914624 = 224^2 + 2432^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25484 + ... + 25716.

Almost surely, 2^5964800 is an apocalyptic number.

5964800 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 5964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7424469).

5964800 is an abundant number, since it is smaller than the sum of its proper divisors (8884138).

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

5964800 is a wasteful number, since it uses less digits than its factorization.

5964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 5964800 is about 2442.2940035958. The cubic root of 5964800 is about 181.3560140796.

The spelling of 5964800 in words is "five million, nine hundred sixty-four thousand, eight hundred".