85664880 has 240 divisors, whose sum is σ = 343549440. Its totient is φ = 18703872.

The previous prime is 85664849. The next prime is 85664893. The reversal of 85664880 is 8846658.

85664880 is a `hidden beast` number, since 8 + 566 + 4 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 115551 + ... + 116289.

It is an arithmetic number, because the mean of its divisors is an integer number (1431456).

Almost surely, 2^85664880 is an apocalyptic number.

85664880 is a gapful number since it is divisible by the number (80) 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 85664880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171774720).

85664880 is an abundant number, since it is smaller than the sum of its proper divisors (257884560).

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

85664880 is a wasteful number, since it uses less digits than its factorization.

85664880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 85664880 is about 9255.5323995976. The cubic root of 85664880 is about 440.8264083001.

The spelling of 85664880 in words is "eighty-five million, six hundred sixty-four thousand, eight hundred eighty".