8964106240 has 192 divisors, whose sum is σ = 22289904000. Its totient is φ = 3458138112.

The previous prime is 8964106237. The next prime is 8964106297. The reversal of 8964106240 is 426014698.

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 = 8964106193 and 8964106202.

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 15 ways as a sum of consecutive naturals, for example, 45045661 + ... + 45045859.

It is an arithmetic number, because the mean of its divisors is an integer number (116093250).

Almost surely, 2^8964106240 is an apocalyptic number.

8964106240 is a gapful number since it is divisible by the number (80) 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 8964106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11144952000).

8964106240 is an abundant number, since it is smaller than the sum of its proper divisors (13325797760).

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

8964106240 is a wasteful number, since it uses less digits than its factorization.

8964106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 8964106240 is about 94678.9640838977. The cubic root of 8964106240 is about 2077.3148783993.

The spelling of 8964106240 in words is "eight billion, nine hundred sixty-four million, one hundred six thousand, two hundred forty".