85461200 has 60 divisors (see below), whose sum is σ = 223997568. Its totient is φ = 31075200.

The previous prime is 85461191. The next prime is 85461239. The reversal of 85461200 is 216458.

It is a self number, because there is not a number n which added to its sum of digits gives 85461200.

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, 5312 + ... + 14111.

Almost surely, 2^85461200 is an apocalyptic number.

85461200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85461200 is an abundant number, since it is smaller than the sum of its proper divisors (138536368).

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

85461200 is a wasteful number, since it uses less digits than its factorization.

85461200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19452 (or 19441 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 85461200 is about 9244.5227026602. The cubic root of 85461200 is about 440.4767559583.

Adding to 85461200 its reverse (216458), we get a palindrome (85677658).

The spelling of 85461200 in words is "eighty-five million, four hundred sixty-one thousand, two hundred".