85344416 has 24 divisors (see below), whose sum is σ = 171195444. Its totient is φ = 41866240.

The previous prime is 85344397. The next prime is 85344431. The reversal of 85344416 is 61444358.

It can be written as a sum of positive squares in 2 ways, for example, as 81360400 + 3984016 = 9020^2 + 1996^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23465 + ... + 26856.

Almost surely, 2^85344416 is an apocalyptic number.

It is an amenable number.

85344416 is an abundant number, since it is smaller than the sum of its proper divisors (85851028).

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

85344416 is a wasteful number, since it uses less digits than its factorization.

85344416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50384 (or 50376 counting only the distinct ones).

The product of its digits is 46080, while the sum is 35.

The square root of 85344416 is about 9238.2041544880. The cubic root of 85344416 is about 440.2760251521.

The spelling of 85344416 in words is "eighty-five million, three hundred forty-four thousand, four hundred sixteen".