85737348 has 72 divisors (see below), whose sum is σ = 229829600. Its totient is φ = 26873856.

The previous prime is 85737283. The next prime is 85737361. The reversal of 85737348 is 84373758.

85737348 is a `hidden beast` number, since 8 + 573 + 73 + 4 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111108 + ... + 111876.

Almost surely, 2^85737348 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 85737348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114914800).

85737348 is an abundant number, since it is smaller than the sum of its proper divisors (144092252).

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

85737348 is a wasteful number, since it uses less digits than its factorization.

85737348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 956 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 85737348 is about 9259.4464197381. The cubic root of 85737348 is about 440.9506786126.

The spelling of 85737348 in words is "eighty-five million, seven hundred thirty-seven thousand, three hundred forty-eight".