296416 has 24 divisors (see below), whose sum is σ = 597240. Its totient is φ = 144768.

The previous prime is 296377. The next prime is 296437. The reversal of 296416 is 614692.

296416 = 34² + 35² + ... + 97².

It is a d-powerful number, because it can be written as 2³ + 9² + 4⁷ + 6 + 1 + 6⁷ .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1810 + ... + 1966.

It is an arithmetic number, because the mean of its divisors is an integer number (24885).

2²⁹⁶⁴¹⁶ 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 296416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298620).

296416 is an abundant number, since it is smaller than the sum of its proper divisors (300824).

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

296416 is a wasteful number, since it uses less digits than its factorization.

296416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 218 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 296416 is about 544.4409977215. The cubic root of 296416 is about 66.6756432357.

The spelling of 296416 in words is "two hundred ninety-six thousand, four hundred sixteen".