845105598 has 96 divisors (see below), whose sum is σ = 2057646240. Its totient is φ = 249108480.

The previous prime is 845105593. The next prime is 845105603. The reversal of 845105598 is 895501548.

It is a happy number.

845105598 is a `hidden beast` number, since 8 + 4 + 51 + 0 + 5 + 598 = 666.

It is an interprime number because it is at equal distance from previous prime (845105593) and next prime (845105603).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845105593) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 795988 + ... + 797048.

It is an arithmetic number, because the mean of its divisors is an integer number (21433815).

Almost surely, 2^845105598 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 845105598, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028823120).

845105598 is an abundant number, since it is smaller than the sum of its proper divisors (1212540642).

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

845105598 is a wasteful number, since it uses less digits than its factorization.

845105598 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The square root of 845105598 is about 29070.6999915723. The cubic root of 845105598 is about 945.4465748549.

The spelling of 845105598 in words is "eight hundred forty-five million, one hundred five thousand, five hundred ninety-eight".