85776642 has 24 divisors (see below), whose sum is σ = 212399616. Its totient is φ = 24507576.

The previous prime is 85776641. The next prime is 85776643. The reversal of 85776642 is 24667758.

It is an interprime number because it is at equal distance from previous prime (85776641) and next prime (85776643).

It is a super-3 number, since 3×85776642³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (85776641) 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 11 ways as a sum of consecutive naturals, for example, 340258 + ... + 340509.

It is an arithmetic number, because the mean of its divisors is an integer number (8849984).

Almost surely, 2^85776642 is an apocalyptic number.

85776642 is an abundant number, since it is smaller than the sum of its proper divisors (126622974).

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

85776642 is a wasteful number, since it uses less digits than its factorization.

85776642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680782 (or 680779 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 85776642 is about 9261.5680097919. The cubic root of 85776642 is about 441.0180318726.

The spelling of 85776642 in words is "eighty-five million, seven hundred seventy-six thousand, six hundred forty-two".