85048320 has 264 divisors, whose sum is σ = 319233744. Its totient is φ = 19267584.

The previous prime is 85048307. The next prime is 85048321. The reversal of 85048320 is 2384058.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85048321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 752584 + ... + 752696.

Almost surely, 2^85048320 is an apocalyptic number.

85048320 is a gapful number since it is divisible by the number (80) 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 85048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159616872).

85048320 is an abundant number, since it is smaller than the sum of its proper divisors (234185424).

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

85048320 is a wasteful number, since it uses less digits than its factorization.

85048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

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

The square root of 85048320 is about 9222.1646049070. The cubic root of 85048320 is about 439.7662670450.

The spelling of 85048320 in words is "eighty-five million, forty-eight thousand, three hundred twenty".