85013200 has 60 divisors (see below), whose sum is σ = 205238848. Its totient is φ = 33840000.

The previous prime is 85013197. The next prime is 85013231. The reversal of 85013200 is 231058.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112825 + ... + 113575.

Almost surely, 2^85013200 is an apocalyptic number.

85013200 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 85013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102619424).

85013200 is an abundant number, since it is smaller than the sum of its proper divisors (120225648).

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

85013200 is a wasteful number, since it uses less digits than its factorization.

85013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 85013200 is about 9220.2603000132. The cubic root of 85013200 is about 439.7057260972.

Adding to 85013200 its reverse (231058), we get a palindrome (85244258).

The spelling of 85013200 in words is "eighty-five million, thirteen thousand, two hundred".