874259568 has 360 divisors, whose sum is σ = 3187639728. Its totient is φ = 229920768.

The previous prime is 874259567. The next prime is 874259579. The reversal of 874259568 is 865952478.

874259568 is a `hidden beast` number, since 8 + 7 + 42 + 595 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4838400) is a multiple of the sum of its prime divisors (378).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874259563) 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 71 ways as a sum of consecutive naturals, for example, 2476480 + ... + 2476832.

Almost surely, 2^874259568 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 874259568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593819864).

874259568 is an abundant number, since it is smaller than the sum of its proper divisors (2313380160).

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

874259568 is a wasteful number, since it uses less digits than its factorization.

874259568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 378 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 874259568 is about 29567.8806815774. The cubic root of 874259568 is about 956.1957256393.

The spelling of 874259568 in words is "eight hundred seventy-four million, two hundred fifty-nine thousand, five hundred sixty-eight".