967241520 has 640 divisors, whose sum is σ = 4165447680. Its totient is φ = 201277440.

The previous prime is 967241519. The next prime is 967241521. The reversal of 967241520 is 25142769.

967241520 is a `hidden beast` number, since 96 + 7 + 2 + 41 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (967241519) and next prime (967241521).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (967241521) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 13623085 + ... + 13623155.

It is an arithmetic number, because the mean of its divisors is an integer number (6508512).

Almost surely, 2^967241520 is an apocalyptic number.

967241520 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 967241520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082723840).

967241520 is an abundant number, since it is smaller than the sum of its proper divisors (3198206160).

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

967241520 is a wasteful number, since it uses less digits than its factorization.

967241520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 967241520 is about 31100.5067482831. The cubic root of 967241520 is about 988.9590527911.

The spelling of 967241520 in words is "nine hundred sixty-seven million, two hundred forty-one thousand, five hundred twenty".