874110960 has 320 divisors, whose sum is σ = 3231936000. Its totient is φ = 217085184.

The previous prime is 874110949. The next prime is 874110961. The reversal of 874110960 is 69011478.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874110961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14815411 + ... + 14815469.

It is an arithmetic number, because the mean of its divisors is an integer number (10099800).

Almost surely, 2^874110960 is an apocalyptic number.

874110960 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 874110960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615968000).

874110960 is an abundant number, since it is smaller than the sum of its proper divisors (2357825040).

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

874110960 is a wasteful number, since it uses less digits than its factorization.

874110960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 874110960 is about 29565.3675776237. The cubic root of 874110960 is about 956.1415440241.

It can be divided in two parts, 8741 and 10960, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 874110960 in words is "eight hundred seventy-four million, one hundred ten thousand, nine hundred sixty".