85319680 has 56 divisors (see below), whose sum is σ = 204853032. Its totient is φ = 34111488.

The previous prime is 85319639. The next prime is 85319683. The reversal of 85319680 is 8691358.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85319683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39919 + ... + 42001.

Almost surely, 2^85319680 is an apocalyptic number.

85319680 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 85319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102426516).

85319680 is an abundant number, since it is smaller than the sum of its proper divisors (119533352).

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

85319680 is an equidigital number, since it uses as much as digits as its factorization.

85319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 85319680 is about 9236.8652691268. The cubic root of 85319680 is about 440.2334848953.

The spelling of 85319680 in words is "eighty-five million, three hundred nineteen thousand, six hundred eighty".