7971940 has 24 divisors (see below), whose sum is σ = 16833600. Its totient is φ = 3171168.

The previous prime is 7971919. The next prime is 7971959. The reversal of 7971940 is 491797.

It is a self number, because there is not a number n which added to its sum of digits gives 7971940.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2979 + ... + 4981.

It is an arithmetic number, because the mean of its divisors is an integer number (701400).

Almost surely, 2^7971940 is an apocalyptic number.

It is an amenable number.

7971940 is an abundant number, since it is smaller than the sum of its proper divisors (8861660).

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

7971940 is a wasteful number, since it uses less digits than its factorization.

7971940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 37.

The square root of 7971940 is about 2823.4624134208. The cubic root of 7971940 is about 199.7658927425.

It can be divided in two parts, 7971 and 940, that added together give a triangular number (8911 = T₁₃₃).

The spelling of 7971940 in words is "seven million, nine hundred seventy-one thousand, nine hundred forty".