85770984 has 128 divisors (see below), whose sum is σ = 248451840. Its totient is φ = 24440832.

The previous prime is 85770983. The next prime is 85771003. The reversal of 85770984 is 48907758.

It is not an unprimeable number, because it can be changed into a prime (85770983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546234 + ... + 546390.

It is an arithmetic number, because the mean of its divisors is an integer number (1941030).

Almost surely, 2^85770984 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 85770984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124225920).

85770984 is an abundant number, since it is smaller than the sum of its proper divisors (162680856).

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

85770984 is a wasteful number, since it uses less digits than its factorization.

85770984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 85770984 is about 9261.2625489185. The cubic root of 85770984 is about 441.0083348469.

The spelling of 85770984 in words is "eighty-five million, seven hundred seventy thousand, nine hundred eighty-four".