85144480 has 24 divisors (see below), whose sum is σ = 201154212. Its totient is φ = 34057728.

The previous prime is 85144469. The next prime is 85144487. The reversal of 85144480 is 8444158.

It can be written as a sum of positive squares in 2 ways, for example, as 79780624 + 5363856 = 8932^2 + 2316^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (85144487) 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 3 ways as a sum of consecutive naturals, for example, 265917 + ... + 266236.

Almost surely, 2^85144480 is an apocalyptic number.

85144480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85144480 is an abundant number, since it is smaller than the sum of its proper divisors (116009732).

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

85144480 is a wasteful number, since it uses less digits than its factorization.

85144480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532168 (or 532160 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 85144480 is about 9227.3766586176. The cubic root of 85144480 is about 439.9319453974.

The spelling of 85144480 in words is "eighty-five million, one hundred forty-four thousand, four hundred eighty".