85766652 has 18 divisors (see below), whose sum is σ = 216799128. Its totient is φ = 28588872.

The previous prime is 85766621. The next prime is 85766657. The reversal of 85766652 is 25666758.

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 85766598 and 85766607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85766657) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1191168 + ... + 1191239.

It is an arithmetic number, because the mean of its divisors is an integer number (12044396).

Almost surely, 2^85766652 is an apocalyptic number.

It is an amenable number.

85766652 is an abundant number, since it is smaller than the sum of its proper divisors (131032476).

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

85766652 is a wasteful number, since it uses less digits than its factorization.

85766652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382417 (or 2382412 counting only the distinct ones).

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

The square root of 85766652 is about 9261.0286685659. The cubic root of 85766652 is about 441.0009101127. Note that the first 3 decimals are identical.

The spelling of 85766652 in words is "eighty-five million, seven hundred sixty-six thousand, six hundred fifty-two".