85776264 has 144 divisors (see below), whose sum is σ = 277297020. Its totient is φ = 23869440.

The previous prime is 85776253. The next prime is 85776277. The reversal of 85776264 is 46267758.

It can be written as a sum of positive squares in 2 ways, for example, as 81540900 + 4235364 = 9030^2 + 2058^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144352 + ... + 144944.

Almost surely, 2^85776264 is an apocalyptic number.

85776264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85776264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138648510).

85776264 is an abundant number, since it is smaller than the sum of its proper divisors (191520756).

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

85776264 is a wasteful number, since it uses less digits than its factorization.

85776264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 646 counting only the distinct ones).

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

The square root of 85776264 is about 9261.5476028577. The cubic root of 85776264 is about 441.0173840464.

It can be divided in two parts, 8577 and 6264, that added together give a palindrome (14841).

The spelling of 85776264 in words is "eighty-five million, seven hundred seventy-six thousand, two hundred sixty-four".