967973760 has 512 divisors, whose sum is σ = 3838464000. Its totient is φ = 228925440.

The previous prime is 967973759. The next prime is 967973779. The reversal of 967973760 is 67379769.

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 = 967973697 and 967973706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6963771 + ... + 6963909.

It is an arithmetic number, because the mean of its divisors is an integer number (7497000).

Almost surely, 2^967973760 is an apocalyptic number.

967973760 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 967973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919232000).

967973760 is an abundant number, since it is smaller than the sum of its proper divisors (2870490240).

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

967973760 is a wasteful number, since it uses less digits than its factorization.

967973760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 54.

The square root of 967973760 is about 31112.2766765790. The cubic root of 967973760 is about 989.2085501851.

The spelling of 967973760 in words is "nine hundred sixty-seven million, nine hundred seventy-three thousand, seven hundred sixty".