7891488 has 144 divisors (see below), whose sum is σ = 25474176. Its totient is φ = 2296320.

The previous prime is 7891483. The next prime is 7891493. The reversal of 7891488 is 8841987.

It is an interprime number because it is at equal distance from previous prime (7891483) and next prime (7891493).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (7891483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148870 + ... + 148922.

It is an arithmetic number, because the mean of its divisors is an integer number (176904).

Almost surely, 2^7891488 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 7891488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12737088).

7891488 is an abundant number, since it is smaller than the sum of its proper divisors (17582688).

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

7891488 is a wasteful number, since it uses less digits than its factorization.

7891488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 116 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 7891488 is about 2809.1792395645. The cubic root of 7891488 is about 199.0916137519.

The spelling of 7891488 in words is "seven million, eight hundred ninety-one thousand, four hundred eighty-eight".