85473520 has 160 divisors (see below), whose sum is σ = 233985024. Its totient is φ = 28723200.

The previous prime is 85473511. The next prime is 85473529. The reversal of 85473520 is 2537458.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85473511) and next prime (85473529).

It is a super-3 number, since 3×85473520³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85473529) 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 31 ways as a sum of consecutive naturals, for example, 829789 + ... + 829891.

Almost surely, 2^85473520 is an apocalyptic number.

85473520 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 85473520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116992512).

85473520 is an abundant number, since it is smaller than the sum of its proper divisors (148511504).

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

85473520 is a wasteful number, since it uses less digits than its factorization.

85473520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 85473520 is about 9245.1890191602. The cubic root of 85473520 is about 440.4979211689.

The spelling of 85473520 in words is "eighty-five million, four hundred seventy-three thousand, five hundred twenty".