85188000 has 192 divisors, whose sum is σ = 289336320. Its totient is φ = 21888000.

The previous prime is 85187989. The next prime is 85188011. The reversal of 85188000 is 88158.

It is an interprime number because it is at equal distance from previous prime (85187989) and next prime (85188011).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371886 + ... + 372114.

It is an arithmetic number, because the mean of its divisors is an integer number (1506960).

Almost surely, 2^85188000 is an apocalyptic number.

85188000 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 85188000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144668160).

85188000 is an abundant number, since it is smaller than the sum of its proper divisors (204148320).

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

85188000 is a wasteful number, since it uses less digits than its factorization.

85188000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 85188000 is about 9229.7345573965. The cubic root of 85188000 is about 440.0068869445.

The spelling of 85188000 in words is "eighty-five million, one hundred eighty-eight thousand".