85306900 has 36 divisors (see below), whose sum is σ = 211562848. Its totient is φ = 29247840.

The previous prime is 85306877. The next prime is 85306909. The reversal of 85306900 is 960358.

It is a super-2 number, since 2×85306900² = 14554534375220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85306909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60234 + ... + 61633.

Almost surely, 2^85306900 is an apocalyptic number.

It is an amenable number.

85306900 is an abundant number, since it is smaller than the sum of its proper divisors (126255948).

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

85306900 is a wasteful number, since it uses less digits than its factorization.

85306900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121888 (or 121881 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 85306900 is about 9236.1734500820. The cubic root of 85306900 is about 440.2115029998.

The spelling of 85306900 in words is "eighty-five million, three hundred six thousand, nine hundred".