674128000 has 256 divisors, whose sum is σ = 2067287040. Its totient is φ = 212889600.

The previous prime is 674127991. The next prime is 674128033. The reversal of 674128000 is 821476.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 674128000 = 124³ + 876³ = 250³ + 870³.

It is a self number, because there is not a number n which added to its sum of digits gives 674128000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1455769 + ... + 1456231.

It is an arithmetic number, because the mean of its divisors is an integer number (8075340).

Almost surely, 2^674128000 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 674128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033643520).

674128000 is an abundant number, since it is smaller than the sum of its proper divisors (1393159040).

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

674128000 is a wasteful number, since it uses less digits than its factorization.

674128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 674128000 is about 25963.9750423544. The cubic root of 674128000 is about 876.8274189127.

Adding to 674128000 its reverse (821476), we get a palindrome (674949476).

The spelling of 674128000 in words is "six hundred seventy-four million, one hundred twenty-eight thousand".