5882016 has 48 divisors (see below), whose sum is σ = 17648064. Its totient is φ = 1680384.

The previous prime is 5882011. The next prime is 5882027. The reversal of 5882016 is 6102885.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×5882016² = 69196224448512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5882011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3705 + ... + 5048.

It is an arithmetic number, because the mean of its divisors is an integer number (367668).

Almost surely, 2^5882016 is an apocalyptic number.

5882016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5882016 is an abundant number, since it is smaller than the sum of its proper divisors (11766048).

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

5882016 is a wasteful number, since it uses less digits than its factorization.

5882016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8773 (or 8765 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 5882016 is about 2425.2867871656. The cubic root of 5882016 is about 180.5131038693.

The spelling of 5882016 in words is "five million, eight hundred eighty-two thousand, sixteen".