7971964 has 72 divisors (see below), whose sum is σ = 18977504. Its totient is φ = 2851200.

The previous prime is 7971959. The next prime is 7971973. The reversal of 7971964 is 4691797.

7971964 = T₁ + T₂ + ... + T₃₆₂.

It is a happy number.

7971964 is a nontrivial binomial coefficient, being equal to C(364, 3).

It is a self number, because there is not a number n which added to its sum of digits gives 7971964.

It is a congruent number.

It is an unprimeable number.

It is the 362-nd tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43954 + ... + 44134.

Almost surely, 2^7971964 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 7971964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9488752).

7971964 is an abundant number, since it is smaller than the sum of its proper divisors (11005540).

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

7971964 is a wasteful number, since it uses less digits than its factorization.

7971964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 214 counting only the distinct ones).

The product of its digits is 95256, while the sum is 43.

The square root of 7971964 is about 2823.4666635184. The cubic root of 7971964 is about 199.7660932114.

The spelling of 7971964 in words is "seven million, nine hundred seventy-one thousand, nine hundred sixty-four".