85557000 has 192 divisors, whose sum is σ = 285292800. Its totient is φ = 21340800.

The previous prime is 85556969. The next prime is 85557013. The reversal of 85557000 is 75558.

It is a happy number.

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

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 47 ways as a sum of consecutive naturals, for example, 1082961 + ... + 1083039.

It is an arithmetic number, because the mean of its divisors is an integer number (1485900).

Almost surely, 2^85557000 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 85557000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142646400).

85557000 is an abundant number, since it is smaller than the sum of its proper divisors (199735800).

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

85557000 is a wasteful number, since it uses less digits than its factorization.

85557000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 30.

The square root of 85557000 is about 9249.7026979249. The cubic root of 85557000 is about 440.6412825330.

The spelling of 85557000 in words is "eighty-five million, five hundred fifty-seven thousand".