7461984 has 48 divisors (see below), whose sum is σ = 20623680. Its totient is φ = 2355840.

The previous prime is 7461983. The next prime is 7462033. The reversal of 7461984 is 4891647.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7461983) 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 7 ways as a sum of consecutive naturals, for example, 222 + ... + 3869.

It is an arithmetic number, because the mean of its divisors is an integer number (429660).

Almost surely, 2^7461984 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 7461984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10311840).

7461984 is an abundant number, since it is smaller than the sum of its proper divisors (13161696).

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

7461984 is a wasteful number, since it uses less digits than its factorization.

7461984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4123 (or 4115 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 7461984 is about 2731.6632296094. The cubic root of 7461984 is about 195.4120936631.

The spelling of 7461984 in words is "seven million, four hundred sixty-one thousand, nine hundred eighty-four".