845892240 has 80 divisors (see below), whose sum is σ = 2630040000. Its totient is φ = 224902656.

The previous prime is 845892233. The next prime is 845892251. The reversal of 845892240 is 42298548.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 845892192 and 845892201.

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 15 ways as a sum of consecutive naturals, for example, 78711 + ... + 88809.

It is an arithmetic number, because the mean of its divisors is an integer number (32875500).

Almost surely, 2^845892240 is an apocalyptic number.

845892240 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 845892240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315020000).

845892240 is an abundant number, since it is smaller than the sum of its proper divisors (1784147760).

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

845892240 is a wasteful number, since it uses less digits than its factorization.

845892240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10464 (or 10458 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 845892240 is about 29084.2266529471. The cubic root of 845892240 is about 945.7398310454.

The spelling of 845892240 in words is "eight hundred forty-five million, eight hundred ninety-two thousand, two hundred forty".