675682560 has 720 divisors, whose sum is σ = 2967888000. Its totient is φ = 146313216.

The previous prime is 675682559. The next prime is 675682597. The reversal of 675682560 is 65286576.

675682560 is a `hidden beast` number, since 6 + 7 + 5 + 6 + 82 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35562231 + ... + 35562249.

Almost surely, 2^675682560 is an apocalyptic number.

675682560 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 675682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483944000).

675682560 is an abundant number, since it is smaller than the sum of its proper divisors (2292205440).

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

675682560 is an equidigital number, since it uses as much as digits as its factorization.

675682560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 675682560 is about 25993.8946677869. The cubic root of 675682560 is about 877.5008985307.

The spelling of 675682560 in words is "six hundred seventy-five million, six hundred eighty-two thousand, five hundred sixty".