8937950560 has 288 divisors, whose sum is σ = 26829423936. Its totient is φ = 2754048000.

The previous prime is 8937950551. The next prime is 8937950561. The reversal of 8937950560 is 650597398.

It is a junction number, because it is equal to n+sod(n) for n = 8937950498 and 8937950507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8937950561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13687194 + ... + 13687846.

It is an arithmetic number, because the mean of its divisors is an integer number (93157722).

Almost surely, 2^8937950560 is an apocalyptic number.

8937950560 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 8937950560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13414711968).

8937950560 is an abundant number, since it is smaller than the sum of its proper divisors (17891473376).

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

8937950560 is a wasteful number, since it uses less digits than its factorization.

8937950560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 52.

The square root of 8937950560 is about 94540.7349241585. The cubic root of 8937950560 is about 2075.2924974033.

The spelling of 8937950560 in words is "eight billion, nine hundred thirty-seven million, nine hundred fifty thousand, five hundred sixty".