874104000 has 672 divisors, whose sum is σ = 3710074368. Its totient is φ = 177408000.

The previous prime is 874103921. The next prime is 874104013. The reversal of 874104000 is 401478.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 20327979 + ... + 20328021.

It is an arithmetic number, because the mean of its divisors is an integer number (5520944).

Almost surely, 2^874104000 is an apocalyptic number.

874104000 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 874104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855037184).

874104000 is an abundant number, since it is smaller than the sum of its proper divisors (2835970368).

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

874104000 is a wasteful number, since it uses less digits than its factorization.

874104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 874104000 is about 29565.2498721049. The cubic root of 874104000 is about 956.1390062979.

Adding to 874104000 its reverse (401478), we get a palindrome (874505478).

The spelling of 874104000 in words is "eight hundred seventy-four million, one hundred four thousand".