85279744 has 88 divisors (see below), whose sum is σ = 190420128. Its totient is φ = 37847040.

The previous prime is 85279739. The next prime is 85279751. The reversal of 85279744 is 44797258.

It is a tau number, because it is divible by the number of its divisors (88).

It is a junction number, because it is equal to n+sod(n) for n = 85279694 and 85279703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 754632 + ... + 754744.

Almost surely, 2^85279744 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 85279744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95210064).

85279744 is an abundant number, since it is smaller than the sum of its proper divisors (105140384).

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

85279744 is a wasteful number, since it uses less digits than its factorization.

85279744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 193 counting only the distinct ones).

The product of its digits is 564480, while the sum is 46.

The square root of 85279744 is about 9234.7032437431. The cubic root of 85279744 is about 440.1647867620.

The spelling of 85279744 in words is "eighty-five million, two hundred seventy-nine thousand, seven hundred forty-four".