5960800 has 36 divisors (see below), whose sum is σ = 14553756. Its totient is φ = 2384000.

The previous prime is 5960797. The next prime is 5960803. The reversal of 5960800 is 80695.

It is an interprime number because it is at equal distance from previous prime (5960797) and next prime (5960803).

It is a super-2 number, since 2×5960800² = 71062273280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5960803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2926 + ... + 4525.

It is an arithmetic number, because the mean of its divisors is an integer number (404271).

Almost surely, 2^5960800 is an apocalyptic number.

5960800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5960800 is an abundant number, since it is smaller than the sum of its proper divisors (8592956).

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

5960800 is a wasteful number, since it uses less digits than its factorization.

5960800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7471 (or 7458 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 5960800 is about 2441.4749640330. The cubic root of 5960800 is about 181.3154658481.

The spelling of 5960800 in words is "five million, nine hundred sixty thousand, eight hundred".