674947584 has 120 divisors (see below), whose sum is σ = 1976337792. Its totient is φ = 221706240.

The previous prime is 674947579. The next prime is 674947607. The reversal of 674947584 is 485749476.

674947584 is a `hidden beast` number, since 6 + 7 + 494 + 75 + 84 = 666.

It is a super-3 number, since 3×674947584³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 674947584.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 326137 + ... + 328199.

Almost surely, 2^674947584 is an apocalyptic number.

674947584 is a gapful number since it is divisible by the number (64) 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 674947584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988168896).

674947584 is an abundant number, since it is smaller than the sum of its proper divisors (1301390208).

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

674947584 is a wasteful number, since it uses less digits than its factorization.

674947584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2139 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 674947584 is about 25979.7533475589. The cubic root of 674947584 is about 877.1826149037.

It can be divided in two parts, 67494 and 7584, that added together give a triangular number (75078 = T₃₈₇).

The spelling of 674947584 in words is "six hundred seventy-four million, nine hundred forty-seven thousand, five hundred eighty-four".