7969248 has 144 divisors (see below), whose sum is σ = 26732160. Its totient is φ = 2204928.

The previous prime is 7969231. The next prime is 7969267. The reversal of 7969248 is 8429697.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118911 + ... + 118977.

It is an arithmetic number, because the mean of its divisors is an integer number (185640).

Almost surely, 2^7969248 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 7969248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13366080).

7969248 is an abundant number, since it is smaller than the sum of its proper divisors (18762912).

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

7969248 is a wasteful number, since it uses less digits than its factorization.

7969248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 138 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 7969248 is about 2822.9856535236. The cubic root of 7969248 is about 199.7434042673.

The spelling of 7969248 in words is "seven million, nine hundred sixty-nine thousand, two hundred forty-eight".