5877648 has 150 divisors (see below), whose sum is σ = 20318454. Its totient is φ = 1580544.

The previous prime is 5877629. The next prime is 5877659. The reversal of 5877648 is 8467785.

5877648 is a `hidden beast` number, since 587 + 7 + 64 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5531904 + 345744 = 2352^2 + 588^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 345736 + ... + 345752.

Almost surely, 2^5877648 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 5877648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10159227).

5877648 is an abundant number, since it is smaller than the sum of its proper divisors (14440806).

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

5877648 is a wasteful number, since it uses less digits than its factorization.

5877648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 29 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 5877648 is about 2424.3861078632. The cubic root of 5877648 is about 180.4684096412.

The spelling of 5877648 in words is "five million, eight hundred seventy-seven thousand, six hundred forty-eight".