85532766 has 32 divisors (see below), whose sum is σ = 186955776. Its totient is φ = 25872000.

The previous prime is 85532761. The next prime is 85532767. The reversal of 85532766 is 66723558.

It is a super-2 number, since 2×85532766² = 14631708119221512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85532761) 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 15 ways as a sum of consecutive naturals, for example, 57411 + ... + 58881.

It is an arithmetic number, because the mean of its divisors is an integer number (5842368).

Almost surely, 2^85532766 is an apocalyptic number.

85532766 is an abundant number, since it is smaller than the sum of its proper divisors (101423010).

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

85532766 is a wasteful number, since it uses less digits than its factorization.

85532766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368.

The product of its digits is 302400, while the sum is 42.

The square root of 85532766 is about 9248.3926170984. The cubic root of 85532766 is about 440.5996747579.

The spelling of 85532766 in words is "eighty-five million, five hundred thirty-two thousand, seven hundred sixty-six".