7969416 has 128 divisors (see below), whose sum is σ = 25401600. Its totient is φ = 2027520.

The previous prime is 7969399. The next prime is 7969439. The reversal of 7969416 is 6149697.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89500 + ... + 89588.

It is an arithmetic number, because the mean of its divisors is an integer number (198450).

Almost surely, 2^7969416 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 7969416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700800).

7969416 is an abundant number, since it is smaller than the sum of its proper divisors (17432184).

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

7969416 is a wasteful number, since it uses less digits than its factorization.

7969416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 155 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 7969416 is about 2823.0154090972. The cubic root of 7969416 is about 199.7448078567.

It can be divided in two parts, 7969 and 416, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 7969416 in words is "seven million, nine hundred sixty-nine thousand, four hundred sixteen".