85769916 has 48 divisors (see below), whose sum is σ = 205220736. Its totient is φ = 27872064.

The previous prime is 85769903. The next prime is 85769969. The reversal of 85769916 is 61996758.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85530 + ... + 86526.

It is an arithmetic number, because the mean of its divisors is an integer number (4275432).

Almost surely, 2^85769916 is an apocalyptic number.

It is an amenable number.

85769916 is an abundant number, since it is smaller than the sum of its proper divisors (119450820).

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

85769916 is a wasteful number, since it uses less digits than its factorization.

85769916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1176 counting only the distinct ones).

The product of its digits is 816480, while the sum is 51.

The square root of 85769916 is about 9261.2048892139. The cubic root of 85769916 is about 441.0065043955.

The spelling of 85769916 in words is "eighty-five million, seven hundred sixty-nine thousand, nine hundred sixteen".