845959680 has 160 divisors (see below), whose sum is σ = 3005164800. Its totient is φ = 225570816.

The previous prime is 845959669. The next prime is 845959693. The reversal of 845959680 is 86959548.

It is a happy number.

845959680 is a `hidden beast` number, since 8 + 45 + 9 + 596 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63001 + ... + 75239.

It is an arithmetic number, because the mean of its divisors is an integer number (18782280).

Almost surely, 2^845959680 is an apocalyptic number.

845959680 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 845959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502582400).

845959680 is an abundant number, since it is smaller than the sum of its proper divisors (2159205120).

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

845959680 is a wasteful number, since it uses less digits than its factorization.

845959680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12271 (or 12249 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 845959680 is about 29085.3860211619. The cubic root of 845959680 is about 945.7649638760.

The spelling of 845959680 in words is "eight hundred forty-five million, nine hundred fifty-nine thousand, six hundred eighty".