85508000 has 48 divisors (see below), whose sum is σ = 210102984. Its totient is φ = 34201600.

The previous prime is 85507969. The next prime is 85508029. The reversal of 85508000 is 80558.

It can be written as a sum of positive squares in 4 ways, for example, as 7997584 + 77510416 = 2828^2 + 8804^2 .

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 7 ways as a sum of consecutive naturals, for example, 6689 + ... + 14688.

Almost surely, 2^85508000 is an apocalyptic number.

85508000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85508000 is an abundant number, since it is smaller than the sum of its proper divisors (124594984).

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

85508000 is a wasteful number, since it uses less digits than its factorization.

85508000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21402 (or 21384 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 85508000 is about 9247.0535847912. The cubic root of 85508000 is about 440.5571454622.

Adding to 85508000 its reverse (80558), we get a palindrome (85588558).

The spelling of 85508000 in words is "eighty-five million, five hundred eight thousand".