7959952 has 120 divisors (see below), whose sum is σ = 21373632. Its totient is φ = 2822400.

The previous prime is 7959937. The next prime is 7959971. The reversal of 7959952 is 2599597.

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, 112077 + ... + 112147.

Almost surely, 2^7959952 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 7959952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10686816).

7959952 is an abundant number, since it is smaller than the sum of its proper divisors (13413680).

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

7959952 is a wasteful number, since it uses less digits than its factorization.

7959952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 104 counting only the distinct ones).

The product of its digits is 255150, while the sum is 46.

The square root of 7959952 is about 2821.3386893459. The cubic root of 7959952 is about 199.6657082230.

It can be divided in two parts, 7959 and 952, that added together give a triangular number (8911 = T₁₃₃).

The spelling of 7959952 in words is "seven million, nine hundred fifty-nine thousand, nine hundred fifty-two".