845584740 has 648 divisors, whose sum is σ = 3654600768. Its totient is φ = 153653760.

The previous prime is 845584739. The next prime is 845584781. The reversal of 845584740 is 47485548.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 44504451 + ... + 44504469.

It is an arithmetic number, because the mean of its divisors is an integer number (5639816).

Almost surely, 2^845584740 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 845584740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827300384).

845584740 is an abundant number, since it is smaller than the sum of its proper divisors (2809016028).

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

845584740 is a wasteful number, since it uses less digits than its factorization.

845584740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The square root of 845584740 is about 29078.9398018566. The cubic root of 845584740 is about 945.6252182414.

It can be divided in two parts, 84558 and 4740, that added together give a palindrome (89298).

The spelling of 845584740 in words is "eight hundred forty-five million, five hundred eighty-four thousand, seven hundred forty".