85772610 has 96 divisors (see below), whose sum is σ = 278059392. Its totient is φ = 17821440.

The previous prime is 85772597. The next prime is 85772641. The reversal of 85772610 is 1627758.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 742 + ... + 13118.

It is an arithmetic number, because the mean of its divisors is an integer number (2896452).

Almost surely, 2^85772610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85772610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139029696).

85772610 is an abundant number, since it is smaller than the sum of its proper divisors (192286782).

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

85772610 is a wasteful number, since it uses less digits than its factorization.

85772610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12408 (or 12405 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 85772610 is about 9261.3503335097. The cubic root of 85772610 is about 441.0111216286.

The spelling of 85772610 in words is "eighty-five million, seven hundred seventy-two thousand, six hundred ten".