85648200 has 192 divisors, whose sum is σ = 305337600. Its totient is φ = 19641600.

The previous prime is 85648183. The next prime is 85648201. The reversal of 85648200 is 284658.

It is a super-2 number, since 2×85648200² = 14671228326480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (85648201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125059 + ... + 125741.

It is an arithmetic number, because the mean of its divisors is an integer number (1590300).

Almost surely, 2^85648200 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 85648200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152668800).

85648200 is an abundant number, since it is smaller than the sum of its proper divisors (219689400).

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

85648200 is a wasteful number, since it uses less digits than its factorization.

85648200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 85648200 is about 9254.6312730438. The cubic root of 85648200 is about 440.7977950116.

The spelling of 85648200 in words is "eighty-five million, six hundred forty-eight thousand, two hundred".