85826880 has 168 divisors, whose sum is σ = 312752232. Its totient is φ = 21528576.

The previous prime is 85826849. The next prime is 85826893. The reversal of 85826880 is 8862858.

85826880 is a `hidden beast` number, since 8 + 582 + 68 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2214144 + 83612736 = 1488^2 + 9144^2 .

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48084 + ... + 49836.

Almost surely, 2^85826880 is an apocalyptic number.

85826880 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 85826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156376116).

85826880 is an abundant number, since it is smaller than the sum of its proper divisors (226925352).

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

85826880 is a wasteful number, since it uses less digits than its factorization.

85826880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 85826880 is about 9264.2797885211. The cubic root of 85826880 is about 441.1041141258.

The spelling of 85826880 in words is "eighty-five million, eight hundred twenty-six thousand, eight hundred eighty".