85636980 has 192 divisors, whose sum is σ = 313286400. Its totient is φ = 19146240.

The previous prime is 85636979. The next prime is 85636997. The reversal of 85636980 is 8963658.

85636980 is a `hidden beast` number, since 8 + 5 + 636 + 9 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76666 + ... + 77774.

It is an arithmetic number, because the mean of its divisors is an integer number (1631700).

Almost surely, 2^85636980 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 85636980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156643200).

85636980 is an abundant number, since it is smaller than the sum of its proper divisors (227649420).

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

85636980 is a wasteful number, since it uses less digits than its factorization.

85636980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 85636980 is about 9254.0250702059. The cubic root of 85636980 is about 440.7785458535.

The spelling of 85636980 in words is "eighty-five million, six hundred thirty-six thousand, nine hundred eighty".