85045248 has 104 divisors (see below), whose sum is σ = 252282800. Its totient is φ = 28311552.

The previous prime is 85045241. The next prime is 85045249. The reversal of 85045248 is 84254058.

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

It is not an unprimeable number, because it can be changed into a prime (85045241) by changing a digit.

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, 110208 + ... + 110976.

Almost surely, 2^85045248 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 85045248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126141400).

85045248 is an abundant number, since it is smaller than the sum of its proper divisors (167237552).

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

85045248 is an equidigital number, since it uses as much as digits as its factorization.

85045248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 85045248 is about 9221.9980481455. The cubic root of 85045248 is about 439.7609721011.

Adding to 85045248 its sum of digits (36), we get a square (85045284 = 9222²).

The spelling of 85045248 in words is "eighty-five million, forty-five thousand, two hundred forty-eight".