967887360 has 640 divisors, whose sum is σ = 4006886400. Its totient is φ = 218972160.

The previous prime is 967887353. The next prime is 967887373. The reversal of 967887360 is 63788769.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 967887297 and 967887306.

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 63 ways as a sum of consecutive naturals, for example, 14446047 + ... + 14446113.

It is an arithmetic number, because the mean of its divisors is an integer number (6260760).

Almost surely, 2^967887360 is an apocalyptic number.

967887360 is a gapful number since it is divisible by the number (90) 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 967887360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003443200).

967887360 is an abundant number, since it is smaller than the sum of its proper divisors (3038999040).

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

967887360 is a wasteful number, since it uses less digits than its factorization.

967887360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 967887360 is about 31110.8881261850. Note that the first 3 decimals coincide. The cubic root of 967887360 is about 989.1791175133.

The spelling of 967887360 in words is "nine hundred sixty-seven million, eight hundred eighty-seven thousand, three hundred sixty".