85251744 has 96 divisors (see below), whose sum is σ = 252000000. Its totient is φ = 28035072.

The previous prime is 85251743. The next prime is 85251763. The reversal of 85251744 is 44715258.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 85251699 and 85251708.

It is not an unprimeable number, because it can be changed into a prime (85251743) 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 15 ways as a sum of consecutive naturals, for example, 67632 + ... + 68880.

It is an arithmetic number, because the mean of its divisors is an integer number (2625000).

Almost surely, 2^85251744 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 85251744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126000000).

85251744 is an abundant number, since it is smaller than the sum of its proper divisors (166748256).

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

85251744 is a wasteful number, since it uses less digits than its factorization.

85251744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1333 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 85251744 is about 9233.1870987217. The cubic root of 85251744 is about 440.1166082124.

The spelling of 85251744 in words is "eighty-five million, two hundred fifty-one thousand, seven hundred forty-four".