5877540 has 36 divisors (see below), whose sum is σ = 17829084. Its totient is φ = 1567296.

The previous prime is 5877527. The next prime is 5877551. The reversal of 5877540 is 457785.

5877540 = T₂₂₅ + T₂₂₆ + ... + T₃₅₉.

5877540 is a `hidden beast` number, since 587 + 75 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2214144 + 3663396 = 1488^2 + 1914^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 5877495 and 5877504.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16147 + ... + 16506.

Almost surely, 2^5877540 is an apocalyptic number.

It is an amenable number.

5877540 is an abundant number, since it is smaller than the sum of its proper divisors (11951544).

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

5877540 is a wasteful number, since it uses less digits than its factorization.

5877540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32668 (or 32663 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 5877540 is about 2424.3638340810. The cubic root of 5877540 is about 180.4673042837.

The spelling of 5877540 in words is "five million, eight hundred seventy-seven thousand, five hundred forty".