85809680 has 40 divisors (see below), whose sum is σ = 217646784. Its totient is φ = 31203200.

The previous prime is 85809667. The next prime is 85809683. The reversal of 85809680 is 8690858.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (85809683) 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 7 ways as a sum of consecutive naturals, for example, 47876 + ... + 49635.

Almost surely, 2^85809680 is an apocalyptic number.

85809680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85809680 is an abundant number, since it is smaller than the sum of its proper divisors (131837104).

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

85809680 is a wasteful number, since it uses less digits than its factorization.

85809680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97535 (or 97529 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 44.

The square root of 85809680 is about 9263.3514453463. The cubic root of 85809680 is about 441.0746459000.

The spelling of 85809680 in words is "eighty-five million, eight hundred nine thousand, six hundred eighty".