85492800 has 168 divisors, whose sum is σ = 311810400. Its totient is φ = 22786560.

The previous prime is 85492751. The next prime is 85492807. The reversal of 85492800 is 829458.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85492807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42211 + ... + 44189.

Almost surely, 2^85492800 is an apocalyptic number.

85492800 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 85492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155905200).

85492800 is an abundant number, since it is smaller than the sum of its proper divisors (226317600).

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

85492800 is a wasteful number, since it uses less digits than its factorization.

85492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 85492800 is about 9246.2316648460. The cubic root of 85492800 is about 440.5310392677.

The spelling of 85492800 in words is "eighty-five million, four hundred ninety-two thousand, eight hundred".