85367880 has 384 divisors, whose sum is σ = 336117600. Its totient is φ = 18579456.

The previous prime is 85367869. The next prime is 85367903. The reversal of 85367880 is 8876358.

It can be written as a sum of positive squares in 16 ways, for example, as 20629764 + 64738116 = 4542^2 + 8046^2 .

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

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 95 ways as a sum of consecutive naturals, for example, 2307222 + ... + 2307258.

Almost surely, 2^85367880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85367880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168058800).

85367880 is an abundant number, since it is smaller than the sum of its proper divisors (250749720).

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

85367880 is a wasteful number, since it uses less digits than its factorization.

85367880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 85367880 is about 9239.4740110030. The cubic root of 85367880 is about 440.3163702640.

The spelling of 85367880 in words is "eighty-five million, three hundred sixty-seven thousand, eight hundred eighty".