675040576 has 56 divisors (see below), whose sum is σ = 1545864320. Its totient is φ = 286474752.

The previous prime is 675040529. The next prime is 675040589.

It is a happy number.

675040576 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 38830 + ... + 53458.

It is an arithmetic number, because the mean of its divisors is an integer number (27604720).

Almost surely, 2^675040576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675040576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772932160).

675040576 is an abundant number, since it is smaller than the sum of its proper divisors (870823744).

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

675040576 is a wasteful number, since it uses less digits than its factorization.

675040576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14751 (or 14741 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The square root of 675040576 is about 25981.5429872823. The cubic root of 675040576 is about 877.2228981404. Note that the first 3 decimals are identical.

The spelling of 675040576 in words is "six hundred seventy-five million, forty thousand, five hundred seventy-six".