874205136 has 320 divisors, whose sum is σ = 3006474240. Its totient is φ = 241024896.

The previous prime is 874205107. The next prime is 874205153. The reversal of 874205136 is 631502478.

874205136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 874205136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10532551 + ... + 10532633.

It is an arithmetic number, because the mean of its divisors is an integer number (9395232).

Almost surely, 2^874205136 is an apocalyptic number.

874205136 is a gapful number since it is divisible by the number (86) 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 874205136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503237120).

874205136 is an abundant number, since it is smaller than the sum of its proper divisors (2132269104).

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

874205136 is an equidigital number, since it uses as much as digits as its factorization.

874205136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 874205136 is about 29566.9602089900. The cubic root of 874205136 is about 956.1758807603.

The spelling of 874205136 in words is "eight hundred seventy-four million, two hundred five thousand, one hundred thirty-six".