7951960 has 32 divisors (see below), whose sum is σ = 18190800. Its totient is φ = 3127680.

The previous prime is 7951949. The next prime is 7951967. The reversal of 7951960 is 691597.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7951967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 811 + ... + 4069.

Almost surely, 2^7951960 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 7951960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9095400).

7951960 is an abundant number, since it is smaller than the sum of its proper divisors (10238840).

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

7951960 is a wasteful number, since it uses less digits than its factorization.

7951960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 37.

The square root of 7951960 is about 2819.9219847365. The cubic root of 7951960 is about 199.5988626487.

It can be divided in two parts, 7951 and 960, that added together give a triangular number (8911 = T₁₃₃).

The spelling of 7951960 in words is "seven million, nine hundred fifty-one thousand, nine hundred sixty".