6087680 has 88 divisors (see below), whose sum is σ = 15475320. Its totient is φ = 2293760.

The previous prime is 6087673. The next prime is 6087691. The reversal of 6087680 is 867806.

It can be written as a sum of positive squares in 4 ways, for example, as 16384 + 6071296 = 128^2 + 2464^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6087680.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148460 + ... + 148500.

Almost surely, 2^6087680 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 6087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7737660).

6087680 is an abundant number, since it is smaller than the sum of its proper divisors (9387640).

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

6087680 is a wasteful number, since it uses less digits than its factorization.

6087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 6087680 is about 2467.3224353538. The cubic root of 6087680 is about 182.5929219672.

The spelling of 6087680 in words is "six million, eighty-seven thousand, six hundred eighty".