85473552 has 160 divisors (see below), whose sum is σ = 254448000. Its totient is φ = 24551424.

The previous prime is 85473547. The next prime is 85473559. The reversal of 85473552 is 25537458.

It is a super-3 number, since 3×85473552³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85473552.

It is not an unprimeable number, because it can be changed into a prime (85473559) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573574 + ... + 573722.

It is an arithmetic number, because the mean of its divisors is an integer number (1590300).

Almost surely, 2^85473552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85473552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127224000).

85473552 is an abundant number, since it is smaller than the sum of its proper divisors (168974448).

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

85473552 is a wasteful number, since it uses less digits than its factorization.

85473552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its digits is 168000, while the sum is 39.

The square root of 85473552 is about 9245.1907497899. The cubic root of 85473552 is about 440.4979761408.

The spelling of 85473552 in words is "eighty-five million, four hundred seventy-three thousand, five hundred fifty-two".