85300248 has 64 divisors (see below), whose sum is σ = 235105920. Its totient is φ = 25574400.

The previous prime is 85300247. The next prime is 85300273. The reversal of 85300248 is 84200358.

It is a super-2 number, since 2×85300248² = 14552264617723008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85300247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23943 + ... + 27273.

It is an arithmetic number, because the mean of its divisors is an integer number (3673530).

Almost surely, 2^85300248 is an apocalyptic number.

85300248 is a gapful number since it is divisible by the number (88) 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 85300248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117552960).

85300248 is an abundant number, since it is smaller than the sum of its proper divisors (149805672).

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

85300248 is a wasteful number, since it uses less digits than its factorization.

85300248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3448 (or 3444 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 85300248 is about 9235.8133372216. The cubic root of 85300248 is about 440.2000605372.

The spelling of 85300248 in words is "eighty-five million, three hundred thousand, two hundred forty-eight".