674889600 has 576 divisors, whose sum is σ = 2826069120. Its totient is φ = 138547200.

The previous prime is 674889587. The next prime is 674889617. The reversal of 674889600 is 6988476.

674889600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 674889600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8131159 + ... + 8131241.

It is an arithmetic number, because the mean of its divisors is an integer number (4906370).

Almost surely, 2^674889600 is an apocalyptic number.

674889600 is a gapful number since it is divisible by the number (60) 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 674889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413034560).

674889600 is an abundant number, since it is smaller than the sum of its proper divisors (2151179520).

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

674889600 is a wasteful number, since it uses less digits than its factorization.

674889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 674889600 is about 25978.6373776609. The cubic root of 674889600 is about 877.1574949218.

The spelling of 674889600 in words is "six hundred seventy-four million, eight hundred eighty-nine thousand, six hundred".