5979200 has 84 divisors (see below), whose sum is σ = 15259812. Its totient is φ = 2304000.

The previous prime is 5979179. The next prime is 5979203. The reversal of 5979200 is 29795.

It can be written as a sum of positive squares in 6 ways, for example, as 817216 + 5161984 = 904^2 + 2272^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5979203) 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, 59150 + ... + 59250.

Almost surely, 2^5979200 is an apocalyptic number.

5979200 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 5979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7629906).

5979200 is an abundant number, since it is smaller than the sum of its proper divisors (9280612).

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

5979200 is a wasteful number, since it uses less digits than its factorization.

5979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 32.

The square root of 5979200 is about 2445.2402744925. The cubic root of 5979200 is about 181.5018377935.

The spelling of 5979200 in words is "five million, nine hundred seventy-nine thousand, two hundred".