85054000 has 120 divisors (see below), whose sum is σ = 219709152. Its totient is φ = 31785600.

The previous prime is 85053989. The next prime is 85054003. The reversal of 85054000 is 45058.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85054003) 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, 1977979 + ... + 1978021.

Almost surely, 2^85054000 is an apocalyptic number.

85054000 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 85054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109854576).

85054000 is an abundant number, since it is smaller than the sum of its proper divisors (134655152).

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

85054000 is a wasteful number, since it uses less digits than its factorization.

85054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 85054000 is about 9222.4725534967. The cubic root of 85054000 is about 439.7760568397.

Adding to 85054000 its reverse (45058), we get a palindrome (85099058).

The spelling of 85054000 in words is "eighty-five million, fifty-four thousand".