967822240 has 192 divisors, whose sum is σ = 3019016448. Its totient is φ = 283852800.

The previous prime is 967822213. The next prime is 967822309. The reversal of 967822240 is 42228769.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 967822193 and 967822202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207130 + ... + 211750.

It is an arithmetic number, because the mean of its divisors is an integer number (15724044).

Almost surely, 2^967822240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 967822240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509508224).

967822240 is an abundant number, since it is smaller than the sum of its proper divisors (2051194208).

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

967822240 is a wasteful number, since it uses less digits than its factorization.

967822240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4671 (or 4663 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 967822240 is about 31109.8415296510. The cubic root of 967822240 is about 989.1569328420.

The spelling of 967822240 in words is "nine hundred sixty-seven million, eight hundred twenty-two thousand, two hundred forty".