85950200 has 144 divisors (see below), whose sum is σ = 239768880. Its totient is φ = 28062720.

The previous prime is 85950199. The next prime is 85950239. The reversal of 85950200 is 205958.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1177364 + ... + 1177436.

Almost surely, 2^85950200 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 85950200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119884440).

85950200 is an abundant number, since it is smaller than the sum of its proper divisors (153818680).

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

85950200 is a wasteful number, since it uses less digits than its factorization.

85950200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 85950200 is about 9270.9330706246. The cubic root of 85950200 is about 441.3152792323.

The spelling of 85950200 in words is "eighty-five million, nine hundred fifty thousand, two hundred".