675686880 has 384 divisors, whose sum is σ = 2634508800. Its totient is φ = 160358400.

The previous prime is 675686867. The next prime is 675686887. The reversal of 675686880 is 88686576.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675686887) 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 63 ways as a sum of consecutive naturals, for example, 2803560 + ... + 2803800.

It is an arithmetic number, because the mean of its divisors is an integer number (6860700).

Almost surely, 2^675686880 is an apocalyptic number.

675686880 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 675686880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317254400).

675686880 is an abundant number, since it is smaller than the sum of its proper divisors (1958821920).

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

675686880 is a wasteful number, since it uses less digits than its factorization.

675686880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 675686880 is about 25993.9777640899. The cubic root of 675686880 is about 877.5027686376.

It can be divided in two parts, 6756 and 86880, that added together give a square (93636 = 306²).

The spelling of 675686880 in words is "six hundred seventy-five million, six hundred eighty-six thousand, eight hundred eighty".