7187968 has 40 divisors (see below), whose sum is σ = 14608440. Its totient is φ = 3532800.

The previous prime is 7187963. The next prime is 7187981. The reversal of 7187968 is 8697817.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7187963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51643 + ... + 51781.

It is an arithmetic number, because the mean of its divisors is an integer number (365211).

Almost surely, 2^7187968 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 7187968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7304220).

7187968 is an abundant number, since it is smaller than the sum of its proper divisors (7420472).

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

7187968 is a wasteful number, since it uses less digits than its factorization.

7187968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 242 counting only the distinct ones).

The product of its digits is 169344, while the sum is 46.

The square root of 7187968 is about 2681.0386047202. The cubic root of 7187968 is about 192.9902542798.

The spelling of 7187968 in words is "seven million, one hundred eighty-seven thousand, nine hundred sixty-eight".