7891968 has 88 divisors (see below), whose sum is σ = 24105472. Its totient is φ = 2248704.

The previous prime is 7891951. The next prime is 7891969. The reversal of 7891968 is 8691987.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7891969) 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, 21321 + ... + 21687.

Almost surely, 2^7891968 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 7891968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12052736).

7891968 is an abundant number, since it is smaller than the sum of its proper divisors (16213504).

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

7891968 is a wasteful number, since it uses less digits than its factorization.

7891968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 379 counting only the distinct ones).

The product of its digits is 217728, while the sum is 48.

The square root of 7891968 is about 2809.2646724721. The cubic root of 7891968 is about 199.0956502545.

It can be divided in two parts, 78919 and 68, that added together give a palindrome (78987).

The spelling of 7891968 in words is "seven million, eight hundred ninety-one thousand, nine hundred sixty-eight".