85690000 has 200 divisors, whose sum is σ = 244046880. Its totient is φ = 28800000.

The previous prime is 85689991. The next prime is 85690009. The reversal of 85690000 is 9658.

It is an interprime number because it is at equal distance from previous prime (85689991) and next prime (85690009).

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×85690000² = 14685552200000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85690009) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2089980 + ... + 2090020.

Almost surely, 2^85690000 is an apocalyptic number.

85690000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122023440).

85690000 is an abundant number, since it is smaller than the sum of its proper divisors (158356880).

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

85690000 is a wasteful number, since it uses less digits than its factorization.

85690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 85690000 is about 9256.8893263342. The cubic root of 85690000 is about 440.8694927674.

Adding to 85690000 its reverse (9658), we get a palindrome (85699658).

The spelling of 85690000 in words is "eighty-five million, six hundred ninety thousand".