85448520 has 192 divisors, whose sum is σ = 294840000. Its totient is φ = 22249728.

The previous prime is 85448513. The next prime is 85448527. The reversal of 85448520 is 2584458.

It is an interprime number because it is at equal distance from previous prime (85448513) and next prime (85448527).

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

It is not an unprimeable number, because it can be changed into a prime (85448527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 573406 + ... + 573554.

It is an arithmetic number, because the mean of its divisors is an integer number (1535625).

Almost surely, 2^85448520 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 85448520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147420000).

85448520 is an abundant number, since it is smaller than the sum of its proper divisors (209391480).

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

85448520 is a wasteful number, since it uses less digits than its factorization.

85448520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 85448520 is about 9243.8368657176. The cubic root of 85448520 is about 440.4549701595.

The spelling of 85448520 in words is "eighty-five million, four hundred forty-eight thousand, five hundred twenty".