85636516 has 27 divisors (see below), whose sum is σ = 174595617. Its totient is φ = 36645840.

The previous prime is 85636511. The next prime is 85636541. The reversal of 85636516 is 61563658.

The square root of 85636516 is 9254.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 67996516 + 17640000 = 8246^2 + 4200^2 .

It is a super-2 number, since 2×85636516² = 14667225745236512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85636511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 129226 + ... + 129886.

Almost surely, 2^85636516 is an apocalyptic number.

85636516 is the 9254-th square number.

It is an amenable number.

85636516 is an abundant number, since it is smaller than the sum of its proper divisors (88959101).

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

85636516 is an equidigital number, since it uses as much as digits as its factorization.

85636516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 670 counting only the distinct ones).

The product of its digits is 129600, while the sum is 40.

The cubic root of 85636516 is about 440.7777497736. Note that the first 4 decimals are identical.

Multiplying 85636516 by its product of digits (129600), we get a square (11098492473600 = 3331440²).

The spelling of 85636516 in words is "eighty-five million, six hundred thirty-six thousand, five hundred sixteen".