7961184 has 144 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 2062080.

The previous prime is 7961147. The next prime is 7961227. The reversal of 7961184 is 4811697.

7961184 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a nude number because it is divisible by every one of its digits.

7961184 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21997 + ... + 22355.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 2^7961184 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 7961184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

7961184 is an abundant number, since it is smaller than the sum of its proper divisors (20343456).

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

7961184 is a wasteful number, since it uses less digits than its factorization.

7961184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 382 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 7961184 is about 2821.5570169678. The cubic root of 7961184 is about 199.6760087651.

It can be divided in two parts, 7 and 961184, that added together give a triangular number (961191 = T₁₃₈₆).

The spelling of 7961184 in words is "seven million, nine hundred sixty-one thousand, one hundred eighty-four".