85404960 has 144 divisors (see below), whose sum is σ = 294368256. Its totient is φ = 22546944.

The previous prime is 85404959. The next prime is 85404973. The reversal of 85404960 is 6940458.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 182647 + ... + 183113.

It is an arithmetic number, because the mean of its divisors is an integer number (2044224).

Almost surely, 2^85404960 is an apocalyptic number.

85404960 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 85404960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147184128).

85404960 is an abundant number, since it is smaller than the sum of its proper divisors (208963296).

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

85404960 is a wasteful number, since it uses less digits than its factorization.

85404960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 85404960 is about 9241.4804008882. The cubic root of 85404960 is about 440.3801123010.

The spelling of 85404960 in words is "eighty-five million, four hundred four thousand, nine hundred sixty".