675876960 has 360 divisors, whose sum is σ = 2627922528. Its totient is φ = 163468800.

The previous prime is 675876941. The next prime is 675876983. The reversal of 675876960 is 69678576.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 675876897 and 675876906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1567945 + ... + 1568375.

Almost surely, 2^675876960 is an apocalyptic number.

675876960 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 675876960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313961264).

675876960 is an abundant number, since it is smaller than the sum of its proper divisors (1952045568).

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

675876960 is a wasteful number, since it uses less digits than its factorization.

675876960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 675876960 is about 25997.6337384770. The cubic root of 675876960 is about 877.5850454501.

It can be divided in two parts, 67587 and 6960, that added together give a palindrome (74547).

The spelling of 675876960 in words is "six hundred seventy-five million, eight hundred seventy-six thousand, nine hundred sixty".