967626240 has 320 divisors, whose sum is σ = 3629767680. Its totient is φ = 215285760.

The previous prime is 967626221. The next prime is 967626241. The reversal of 967626240 is 42626769.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 967626192 and 967626201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967626241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2203941 + ... + 2204379.

It is an arithmetic number, because the mean of its divisors is an integer number (11343024).

Almost surely, 2^967626240 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 967626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814883840).

967626240 is an abundant number, since it is smaller than the sum of its proper divisors (2662141440).

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

967626240 is a wasteful number, since it uses less digits than its factorization.

967626240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 967626240 is about 31106.6912415962. The cubic root of 967626240 is about 989.0901547913.

The spelling of 967626240 in words is "nine hundred sixty-seven million, six hundred twenty-six thousand, two hundred forty".