8893272960 has 1024 divisors, whose sum is σ = 38247552000. Its totient is φ = 1924300800.

The previous prime is 8893272919. The next prime is 8893272967. The reversal of 8893272960 is 692723988.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8893272897 and 8893272906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8893272967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 145791330 + ... + 145791390.

It is an arithmetic number, because the mean of its divisors is an integer number (37351125).

Almost surely, 2^8893272960 is an apocalyptic number.

8893272960 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 8893272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19123776000).

8893272960 is an abundant number, since it is smaller than the sum of its proper divisors (29354279040).

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

8893272960 is a wasteful number, since it uses less digits than its factorization.

8893272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 8893272960 is about 94304.1513402247. The cubic root of 8893272960 is about 2071.8288395359.

The spelling of 8893272960 in words is "eight billion, eight hundred ninety-three million, two hundred seventy-two thousand, nine hundred sixty".