874560672 has 96 divisors (see below), whose sum is σ = 2565984960. Its totient is φ = 289785600.

The previous prime is 874560653. The next prime is 874560679. The reversal of 874560672 is 276065478.

874560672 is a `hidden beast` number, since 87 + 4 + 560 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (874560679) 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 15 ways as a sum of consecutive naturals, for example, 146547 + ... + 152397.

It is an arithmetic number, because the mean of its divisors is an integer number (26729010).

Almost surely, 2^874560672 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 874560672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282992480).

874560672 is an abundant number, since it is smaller than the sum of its proper divisors (1691424288).

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

874560672 is a wasteful number, since it uses less digits than its factorization.

874560672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6043 (or 6029 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 874560672 is about 29572.9719845673. The cubic root of 874560672 is about 956.3054875914.

The spelling of 874560672 in words is "eight hundred seventy-four million, five hundred sixty thousand, six hundred seventy-two".