6117280 has 96 divisors (see below), whose sum is σ = 16574544. Its totient is φ = 2113536.

The previous prime is 6117269. The next prime is 6117281. The reversal of 6117280 is 827116.

It can be written as a sum of positive squares in 8 ways, for example, as 3794704 + 2322576 = 1948^2 + 1524^2 .

It is a super-2 number, since 2×6117280² = 74842229196800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6117281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35274 + ... + 35446.

Almost surely, 2^6117280 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 6117280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8287272).

6117280 is an abundant number, since it is smaller than the sum of its proper divisors (10457264).

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

6117280 is a wasteful number, since it uses less digits than its factorization.

6117280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 6117280 is about 2473.3135668572. The cubic root of 6117280 is about 182.8883828694. Note that the first 3 decimals are identical.

The spelling of 6117280 in words is "six million, one hundred seventeen thousand, two hundred eighty".