7971936 has 48 divisors (see below), whose sum is σ = 23917824. Its totient is φ = 2277504.

The previous prime is 7971919. The next prime is 7971959. The reversal of 7971936 is 6391797.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5260 + ... + 6603.

It is an arithmetic number, because the mean of its divisors is an integer number (498288).

Almost surely, 2^7971936 is an apocalyptic number.

It is an amenable number.

7971936 is an abundant number, since it is smaller than the sum of its proper divisors (15945888).

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

7971936 is a wasteful number, since it uses less digits than its factorization.

7971936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11883 (or 11875 counting only the distinct ones).

The product of its digits is 71442, while the sum is 42.

The square root of 7971936 is about 2823.4617050706. The cubic root of 7971936 is about 199.7658593310.

The spelling of 7971936 in words is "seven million, nine hundred seventy-one thousand, nine hundred thirty-six".