85950984 has 64 divisors (see below), whose sum is σ = 258508800. Its totient is φ = 23264064.

The previous prime is 85950979. The next prime is 85950989. The reversal of 85950984 is 48905958.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85950979) and next prime (85950989).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (85950989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10272 + ... + 16655.

It is an arithmetic number, because the mean of its divisors is an integer number (4039200).

Almost surely, 2^85950984 is an apocalyptic number.

85950984 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

85950984 is an abundant number, since it is smaller than the sum of its proper divisors (172557816).

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

85950984 is a wasteful number, since it uses less digits than its factorization.

85950984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26962 (or 26958 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 85950984 is about 9270.9753532193. The cubic root of 85950984 is about 441.3166210563.

The spelling of 85950984 in words is "eighty-five million, nine hundred fifty thousand, nine hundred eighty-four".