674827200 has 420 divisors, whose sum is σ = 2561002752. Its totient is φ = 174182400.

The previous prime is 674827193. The next prime is 674827207. The reversal of 674827200 is 2728476.

It is an interprime number because it is at equal distance from previous prime (674827193) and next prime (674827207).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674827207) 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 59 ways as a sum of consecutive naturals, for example, 5313537 + ... + 5313663.

Almost surely, 2^674827200 is an apocalyptic number.

674827200 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 674827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280501376).

674827200 is an abundant number, since it is smaller than the sum of its proper divisors (1886175552).

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

674827200 is a wasteful number, since it uses less digits than its factorization.

674827200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 674827200 is about 25977.4363631210. The cubic root of 674827200 is about 877.1304602212.

The spelling of 674827200 in words is "six hundred seventy-four million, eight hundred twenty-seven thousand, two hundred".