845640 has 112 divisors (see below), whose sum is σ = 2951100. Its totient is φ = 217728.

The previous prime is 845623. The next prime is 845653. The reversal of 845640 is 46548.

845640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 842724 + 2916 = 918^2 + 54^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 29146 + ... + 29174.

2⁸⁴⁵⁶⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 845640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475550).

845640 is an abundant number, since it is smaller than the sum of its proper divisors (2105460).

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

845640 is a wasteful number, since it uses less digits than its factorization.

845640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 845640 is about 919.5868637600. The cubic root of 845640 is about 94.5645817049.

It can be divided in two parts, 845 and 640, that added together give a triangular number (1485 = T₅₄).

The spelling of 845640 in words is "eight hundred forty-five thousand, six hundred forty".