85896510 has 96 divisors (see below), whose sum is σ = 243482112. Its totient is φ = 19333440.

The previous prime is 85896493. The next prime is 85896523. The reversal of 85896510 is 1569858.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103959 + ... + 104781.

It is an arithmetic number, because the mean of its divisors is an integer number (2536272).

Almost surely, 2^85896510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85896510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121741056).

85896510 is an abundant number, since it is smaller than the sum of its proper divisors (157585602).

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

85896510 is a wasteful number, since it uses less digits than its factorization.

85896510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The square root of 85896510 is about 9268.0370089896. The cubic root of 85896510 is about 441.2233688288.

The spelling of 85896510 in words is "eighty-five million, eight hundred ninety-six thousand, five hundred ten".