85872248 has 192 divisors, whose sum is σ = 229824000. Its totient is φ = 29272320.

The previous prime is 85872239. The next prime is 85872251. The reversal of 85872248 is 84227858.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 85872199 and 85872208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2961098 + ... + 2961126.

It is an arithmetic number, because the mean of its divisors is an integer number (1197000).

Almost surely, 2^85872248 is an apocalyptic number.

85872248 is a gapful number since it is divisible by the number (88) 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 85872248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912000).

85872248 is an abundant number, since it is smaller than the sum of its proper divisors (143951752).

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

85872248 is a wasteful number, since it uses less digits than its factorization.

85872248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 91 counting only the distinct ones).

The product of its digits is 286720, while the sum is 44.

The square root of 85872248 is about 9266.7280093893. The cubic root of 85872248 is about 441.1818228280.

The spelling of 85872248 in words is "eighty-five million, eight hundred seventy-two thousand, two hundred forty-eight".