85837536 has 48 divisors (see below), whose sum is σ = 250362000. Its totient is φ = 28612224.

The previous prime is 85837517. The next prime is 85837547. The reversal of 85837536 is 63573858.

85837536 is a `hidden beast` number, since 85 + 8 + 37 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 85837491 and 85837500.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 48811 + ... + 50538.

It is an arithmetic number, because the mean of its divisors is an integer number (5215875).

Almost surely, 2^85837536 is an apocalyptic number.

It is an amenable number.

85837536 is an abundant number, since it is smaller than the sum of its proper divisors (164524464).

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

85837536 is a wasteful number, since it uses less digits than its factorization.

85837536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99368 (or 99354 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 85837536 is about 9264.8548828355. The cubic root of 85837536 is about 441.1223687445.

The spelling of 85837536 in words is "eighty-five million, eight hundred thirty-seven thousand, five hundred thirty-six".