85653776 has 40 divisors (see below), whose sum is σ = 179571840. Its totient is φ = 39344256.

The previous prime is 85653773. The next prime is 85653809. The reversal of 85653776 is 67735658.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 85653776.

It is not an unprimeable number, because it can be changed into a prime (85653773) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48851 + ... + 50573.

It is an arithmetic number, because the mean of its divisors is an integer number (4489296).

Almost surely, 2^85653776 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 85653776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89785920).

85653776 is an abundant number, since it is smaller than the sum of its proper divisors (93918064).

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

85653776 is a wasteful number, since it uses less digits than its factorization.

85653776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1977 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 47.

The square root of 85653776 is about 9254.9325227146. The cubic root of 85653776 is about 440.8073606346.

The spelling of 85653776 in words is "eighty-five million, six hundred fifty-three thousand, seven hundred seventy-six".