85312416 has 96 divisors (see below), whose sum is σ = 259338240. Its totient is φ = 24051456.

The previous prime is 85312411. The next prime is 85312421. The reversal of 85312416 is 61421358.

It is an interprime number because it is at equal distance from previous prime (85312411) and next prime (85312421).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (85312411) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 52285 + ... + 53891.

It is an arithmetic number, because the mean of its divisors is an integer number (2701440).

Almost surely, 2^85312416 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 85312416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129669120).

85312416 is an abundant number, since it is smaller than the sum of its proper divisors (174025824).

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

85312416 is a wasteful number, since it uses less digits than its factorization.

85312416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1698 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 85312416 is about 9236.4720537660. The cubic root of 85312416 is about 440.2209909166.

The spelling of 85312416 in words is "eighty-five million, three hundred twelve thousand, four hundred sixteen".