85965696 has 48 divisors (see below), whose sum is σ = 247378560. Its totient is φ = 28654848.

The previous prime is 85965661. The next prime is 85965701. The reversal of 85965696 is 69656958.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36160 + ... + 38463.

It is an arithmetic number, because the mean of its divisors is an integer number (5153720).

Almost surely, 2^85965696 is an apocalyptic number.

It is an amenable number.

85965696 is an abundant number, since it is smaller than the sum of its proper divisors (161412864).

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

85965696 is a wasteful number, since it uses less digits than its factorization.

85965696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74643 (or 74628 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The square root of 85965696 is about 9271.7687632943. The cubic root of 85965696 is about 441.3417992816.

The spelling of 85965696 in words is "eighty-five million, nine hundred sixty-five thousand, six hundred ninety-six".