874286160 has 240 divisors, whose sum is σ = 3039716160. Its totient is φ = 206131200.

The previous prime is 874286107. The next prime is 874286167. The reversal of 874286160 is 61682478.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874286167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9823396 + ... + 9823484.

It is an arithmetic number, because the mean of its divisors is an integer number (12665484).

Almost surely, 2^874286160 is an apocalyptic number.

874286160 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 874286160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519858080).

874286160 is an abundant number, since it is smaller than the sum of its proper divisors (2165430000).

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

874286160 is a wasteful number, since it uses less digits than its factorization.

874286160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 874286160 is about 29568.3303552974. The cubic root of 874286160 is about 956.2054202807.

The spelling of 874286160 in words is "eight hundred seventy-four million, two hundred eighty-six thousand, one hundred sixty".