85129776 has 60 divisors (see below), whose sum is σ = 244072920. Its totient is φ = 27682560.

The previous prime is 85129771. The next prime is 85129777. The reversal of 85129776 is 67792158.

It is not an unprimeable number, because it can be changed into a prime (85129771) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1306 + ... + 13113.

It is an arithmetic number, because the mean of its divisors is an integer number (4067882).

Almost surely, 2^85129776 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 85129776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122036460).

85129776 is an abundant number, since it is smaller than the sum of its proper divisors (158943144).

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

85129776 is a wasteful number, since it uses less digits than its factorization.

85129776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14474 (or 14465 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 85129776 is about 9226.5798647169. The cubic root of 85129776 is about 439.9066193018.

It can be divided in two parts, 85129 and 776, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 85129776 in words is "eighty-five million, one hundred twenty-nine thousand, seven hundred seventy-six".