5957280 has 192 divisors, whose sum is σ = 23950080. Its totient is φ = 1354752.

The previous prime is 5957269. The next prime is 5957291. The reversal of 5957280 is 827595.

5957280 is a `hidden beast` number, since 5 + 9 + 572 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (5957269) and next prime (5957291).

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 30142 + ... + 30338.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

Almost surely, 2^5957280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5957280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11975040).

5957280 is an abundant number, since it is smaller than the sum of its proper divisors (17992800).

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

5957280 is a wasteful number, since it uses less digits than its factorization.

5957280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 5957280 is about 2440.7539818671. The cubic root of 5957280 is about 181.2797683964.

It can be divided in two parts, 595 and 7280, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 5957280 in words is "five million, nine hundred fifty-seven thousand, two hundred eighty".