85168640 has 160 divisors (see below), whose sum is σ = 229806720. Its totient is φ = 30081024.

The previous prime is 85168637. The next prime is 85168649. The reversal of 85168640 is 4686158.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 85168594 and 85168603.

It is not an unprimeable number, because it can be changed into a prime (85168649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826829 + ... + 826931.

It is an arithmetic number, because the mean of its divisors is an integer number (1436292).

Almost surely, 2^85168640 is an apocalyptic number.

85168640 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 85168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114903360).

85168640 is an abundant number, since it is smaller than the sum of its proper divisors (144638080).

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

85168640 is a wasteful number, since it uses less digits than its factorization.

85168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 85168640 is about 9228.6857135781. The cubic root of 85168640 is about 439.9735521293.

The spelling of 85168640 in words is "eighty-five million, one hundred sixty-eight thousand, six hundred forty".