85244544 has 288 divisors, whose sum is σ = 316012320. Its totient is φ = 21427200.

The previous prime is 85244527. The next prime is 85244567. The reversal of 85244544 is 44544258.

It is a tau number, because it is divible by the number of its divisors (288).

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

Its product of digits (102400) is a multiple of the sum of its prime factors (100).

It is a junction number, because it is equal to n+sod(n) for n = 85244499 and 85244508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2749809 + ... + 2749839.

It is an arithmetic number, because the mean of its divisors is an integer number (1097265).

Almost surely, 2^85244544 is an apocalyptic number.

85244544 is a gapful number since it is divisible by the number (84) 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 85244544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158006160).

85244544 is an abundant number, since it is smaller than the sum of its proper divisors (230767776).

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

85244544 is a wasteful number, since it uses less digits than its factorization.

85244544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 54 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

The square root of 85244544 is about 9232.7971926172. The cubic root of 85244544 is about 440.1042177374.

The spelling of 85244544 in words is "eighty-five million, two hundred forty-four thousand, five hundred forty-four".