675575040 has 288 divisors, whose sum is σ = 2530112256. Its totient is φ = 150405120.

The previous prime is 675574987. The next prime is 675575041. The reversal of 675575040 is 40575576.

It is a self number, because there is not a number n which added to its sum of digits gives 675575040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675575041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1101774 + ... + 1102386.

It is an arithmetic number, because the mean of its divisors is an integer number (8785112).

Almost surely, 2^675575040 is an apocalyptic number.

675575040 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 675575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265056128).

675575040 is an abundant number, since it is smaller than the sum of its proper divisors (1854537216).

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

675575040 is a wasteful number, since it uses less digits than its factorization.

675575040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 39.

The square root of 675575040 is about 25991.8264075459. The cubic root of 675575040 is about 877.4543510802.

The spelling of 675575040 in words is "six hundred seventy-five million, five hundred seventy-five thousand, forty".