85148500 has 48 divisors (see below), whose sum is σ = 195773760. Its totient is φ = 32263200.

The previous prime is 85148489. The next prime is 85148521. The reversal of 85148500 is 584158.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5019 + ... + 13981.

It is an arithmetic number, because the mean of its divisors is an integer number (4078620).

Almost surely, 2^85148500 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 85148500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97886880).

85148500 is an abundant number, since it is smaller than the sum of its proper divisors (110625260).

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

85148500 is a wasteful number, since it uses less digits than its factorization.

85148500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9001 (or 8989 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

The square root of 85148500 is about 9227.5944861052. The cubic root of 85148500 is about 439.9388689177.

The spelling of 85148500 in words is "eighty-five million, one hundred forty-eight thousand, five hundred".