7956416 has 56 divisors (see below), whose sum is σ = 17367504. Its totient is φ = 3594240.

The previous prime is 7956409. The next prime is 7956427. The reversal of 7956416 is 6146597.

It is a self number, because there is not a number n which added to its sum of digits gives 7956416.

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, 60671 + ... + 60801.

It is an arithmetic number, because the mean of its divisors is an integer number (310134).

Almost surely, 2^7956416 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 7956416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8683752).

7956416 is an abundant number, since it is smaller than the sum of its proper divisors (9411088).

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

7956416 is a wasteful number, since it uses less digits than its factorization.

7956416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 219 counting only the distinct ones).

The product of its digits is 45360, while the sum is 38.

The square root of 7956416 is about 2820.7119668623. The cubic root of 7956416 is about 199.6361384252.

The spelling of 7956416 in words is "seven million, nine hundred fifty-six thousand, four hundred sixteen".