85488300 has 162 divisors, whose sum is σ = 280147868. Its totient is φ = 21792960.

The previous prime is 85488289. The next prime is 85488307. The reversal of 85488300 is 388458.

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 (85488307) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1818877 + ... + 1818923.

Almost surely, 2^85488300 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 85488300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140073934).

85488300 is an abundant number, since it is smaller than the sum of its proper divisors (194659568).

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

85488300 is a wasteful number, since it uses less digits than its factorization.

85488300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 85488300 is about 9245.9883192658. The cubic root of 85488300 is about 440.5233098665.

The spelling of 85488300 in words is "eighty-five million, four hundred eighty-eight thousand, three hundred".