85101776 has 40 divisors (see below), whose sum is σ = 175215720. Its totient is φ = 39965184.

The previous prime is 85101761. The next prime is 85101781. The reversal of 85101776 is 67710158.

It can be written as a sum of positive squares in 4 ways, for example, as 45914176 + 39187600 = 6776^2 + 6260^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14690 + ... + 19646.

It is an arithmetic number, because the mean of its divisors is an integer number (4380393).

Almost surely, 2^85101776 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 85101776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87607860).

85101776 is an abundant number, since it is smaller than the sum of its proper divisors (90113944).

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

85101776 is a wasteful number, since it uses less digits than its factorization.

85101776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5031 (or 5025 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 35.

The square root of 85101776 is about 9225.0623846129. The cubic root of 85101776 is about 439.8583841773.

The spelling of 85101776 in words is "eighty-five million, one hundred one thousand, seven hundred seventy-six".