85138416 has 120 divisors (see below), whose sum is σ = 264625920. Its totient is φ = 25334400.

The previous prime is 85138399. The next prime is 85138421. The reversal of 85138416 is 61483158.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93001 + ... + 93911.

It is an arithmetic number, because the mean of its divisors is an integer number (2205216).

Almost surely, 2^85138416 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 85138416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132312960).

85138416 is an abundant number, since it is smaller than the sum of its proper divisors (179487504).

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

85138416 is a wasteful number, since it uses less digits than its factorization.

85138416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 986 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 85138416 is about 9227.0480653349. The cubic root of 85138416 is about 439.9215011476.

The spelling of 85138416 in words is "eighty-five million, one hundred thirty-eight thousand, four hundred sixteen".