7948416 has 64 divisors (see below), whose sum is σ = 24137280. Its totient is φ = 2270208.

The previous prime is 7948393. The next prime is 7948429. The reversal of 7948416 is 6148497.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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, 1210 + ... + 4166.

It is an arithmetic number, because the mean of its divisors is an integer number (377145).

Almost surely, 2^7948416 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 7948416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12068640).

7948416 is an abundant number, since it is smaller than the sum of its proper divisors (16188864).

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

7948416 is a wasteful number, since it uses less digits than its factorization.

7948416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2969 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 7948416 is about 2819.2935285280. The cubic root of 7948416 is about 199.5692060826.

The spelling of 7948416 in words is "seven million, nine hundred forty-eight thousand, four hundred sixteen".