7965984 has 72 divisors (see below), whose sum is σ = 22689072. Its totient is φ = 2446080.

The previous prime is 7965949. The next prime is 7966001. The reversal of 7965984 is 4895697.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15979 + ... + 16469.

It is an arithmetic number, because the mean of its divisors is an integer number (315126).

Almost surely, 2^7965984 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 7965984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11344536).

7965984 is an abundant number, since it is smaller than the sum of its proper divisors (14723088).

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

7965984 is a wasteful number, since it uses less digits than its factorization.

7965984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 509 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 7965984 is about 2822.4074829833. The cubic root of 7965984 is about 199.7161306148.

The spelling of 7965984 in words is "seven million, nine hundred sixty-five thousand, nine hundred eighty-four".