85838616 has 80 divisors (see below), whose sum is σ = 242411400. Its totient is φ = 28377216.

The previous prime is 85838611. The next prime is 85838617. The reversal of 85838616 is 61683858.

85838616 is a `hidden beast` number, since 8 + 583 + 8 + 61 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85838611) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 89596 + ... + 90548.

Almost surely, 2^85838616 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 85838616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121205700).

85838616 is an abundant number, since it is smaller than the sum of its proper divisors (156572784).

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

85838616 is a wasteful number, since it uses less digits than its factorization.

85838616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1097 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 85838616 is about 9264.9131674290. The cubic root of 85838616 is about 441.1242187905.

The spelling of 85838616 in words is "eighty-five million, eight hundred thirty-eight thousand, six hundred sixteen".