7967940 has 72 divisors (see below), whose sum is σ = 23157120. Its totient is φ = 2046720.

The previous prime is 7967933. The next prime is 7967941. The reversal of 7967940 is 497697.

7967940 = T₄₃₄ + T₄₃₅ + ... + T₅₀₅.

It is a junction number, because it is equal to n+sod(n) for n = 7967892 and 7967901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7967941) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 100821 + ... + 100899.

Almost surely, 2^7967940 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 7967940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11578560).

7967940 is an abundant number, since it is smaller than the sum of its proper divisors (15189180).

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

7967940 is a wasteful number, since it uses less digits than its factorization.

7967940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 7967940 is about 2822.7539744016. The cubic root of 7967940 is about 199.7324756465.

The spelling of 7967940 in words is "seven million, nine hundred sixty-seven thousand, nine hundred forty".