7971960 has 64 divisors (see below), whose sum is σ = 24698880. Its totient is φ = 2056320.

The previous prime is 7971959. The next prime is 7971973. The reversal of 7971960 is 691797.

7971960 = T₃ + T₄ + ... + T₃₆₂.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2649 + ... + 4791.

It is an arithmetic number, because the mean of its divisors is an integer number (385920).

Almost surely, 2^7971960 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 7971960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12349440).

7971960 is an abundant number, since it is smaller than the sum of its proper divisors (16726920).

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

7971960 is a wasteful number, since it uses less digits than its factorization.

7971960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 39.

The square root of 7971960 is about 2823.4659551693. The cubic root of 7971960 is about 199.7660597999.

The spelling of 7971960 in words is "seven million, nine hundred seventy-one thousand, nine hundred sixty".