5961888 has 72 divisors (see below), whose sum is σ = 17192448. Its totient is φ = 1959552.

The previous prime is 5961887. The next prime is 5961919. The reversal of 5961888 is 8881695.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (5961881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36495 + ... + 36657.

It is an arithmetic number, because the mean of its divisors is an integer number (238784).

Almost surely, 2^5961888 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 5961888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8596224).

5961888 is an abundant number, since it is smaller than the sum of its proper divisors (11230560).

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

5961888 is a wasteful number, since it uses less digits than its factorization.

5961888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 295 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The square root of 5961888 is about 2441.6977699953. The cubic root of 5961888 is about 181.3264967626.

The spelling of 5961888 in words is "five million, nine hundred sixty-one thousand, eight hundred eighty-eight".