845686900 has 36 divisors (see below), whose sum is σ = 1855779660. Its totient is φ = 334470400.

The previous prime is 845686883. The next prime is 845686909. The reversal of 845686900 is 9686548.

It can be written as a sum of positive squares in 6 ways, for example, as 72624484 + 773062416 = 8522^2 + 27804^2 .

It is a super-2 number, since 2×845686900² = 1430372665663220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845686909) 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, 38611 + ... + 56410.

It is an arithmetic number, because the mean of its divisors is an integer number (51549435).

Almost surely, 2^845686900 is an apocalyptic number.

It is an amenable number.

845686900 is an abundant number, since it is smaller than the sum of its proper divisors (1010092760).

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

845686900 is a wasteful number, since it uses less digits than its factorization.

845686900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95124 (or 95117 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 845686900 is about 29080.6963465458. The cubic root of 845686900 is about 945.6632988648.

The spelling of 845686900 in words is "eight hundred forty-five million, six hundred eighty-six thousand, nine hundred".