674987040 has 768 divisors, whose sum is σ = 3109155840. Its totient is φ = 132710400.

The previous prime is 674986999. The next prime is 674987051. The reversal of 674987040 is 40789476.

Added to its reverse (40789476) it gives a square (715776516 = 26754²).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6682990 + ... + 6683090.

It is an arithmetic number, because the mean of its divisors is an integer number (4048380).

Almost surely, 2^674987040 is an apocalyptic number.

674987040 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 674987040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554577920).

674987040 is an abundant number, since it is smaller than the sum of its proper divisors (2434168800).

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

674987040 is a wasteful number, since it uses less digits than its factorization.

674987040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 674987040 is about 25980.5126970197. The cubic root of 674987040 is about 877.1997073139.

Adding to 674987040 its reverse (40789476), we get a square (715776516 = 26754²).

The spelling of 674987040 in words is "six hundred seventy-four million, nine hundred eighty-seven thousand, forty".