8437968 has 120 divisors (see below), whose sum is σ = 29480256. Its totient is φ = 2188800.

The previous prime is 8437951. The next prime is 8437969. The reversal of 8437968 is 8697348.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8437969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10708 + ... + 11468.

Almost surely, 2^8437968 is an apocalyptic number.

8437968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8437968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14740128).

8437968 is an abundant number, since it is smaller than the sum of its proper divisors (21042288).

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

8437968 is a wasteful number, since it uses less digits than its factorization.

8437968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 784 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 8437968 is about 2904.8180665921. The cubic root of 8437968 is about 203.5850851675.

The spelling of 8437968 in words is "eight million, four hundred thirty-seven thousand, nine hundred sixty-eight".