85313088 has 140 divisors (see below), whose sum is σ = 289145472. Its totient is φ = 24364800.

The previous prime is 85313071. The next prime is 85313113. The reversal of 85313088 is 88031358.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35113 + ... + 37463.

Almost surely, 2^85313088 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 85313088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144572736).

85313088 is an abundant number, since it is smaller than the sum of its proper divisors (203832384).

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

85313088 is a wasteful number, since it uses less digits than its factorization.

85313088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 2363 counting only the distinct ones).

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

The square root of 85313088 is about 9236.5084312201. The cubic root of 85313088 is about 440.2221467770. Note that the first 3 decimals are identical.

The spelling of 85313088 in words is "eighty-five million, three hundred thirteen thousand, eighty-eight".