85761216 has 42 divisors (see below), whose sum is σ = 245820692. Its totient is φ = 28586880.

The previous prime is 85761211. The next prime is 85761233. The reversal of 85761216 is 61216758.

85761216 is nontrivially palindromic in base 5.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85761211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73870 + ... + 75021.

Almost surely, 2^85761216 is an apocalyptic number.

It is an amenable number.

85761216 is an abundant number, since it is smaller than the sum of its proper divisors (160059476).

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

85761216 is a wasteful number, since it uses less digits than its factorization.

85761216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148909 (or 148896 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 85761216 is about 9260.7351759998. The cubic root of 85761216 is about 440.9915928488.

The spelling of 85761216 in words is "eighty-five million, seven hundred sixty-one thousand, two hundred sixteen".