8893946880 has 1056 divisors, whose sum is σ = 39988226880. Its totient is φ = 1857945600.

The previous prime is 8893946879. The next prime is 8893946881. The reversal of 8893946880 is 886493988.

8893946880 is a `hidden beast` number, since 8 + 8 + 93 + 9 + 468 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (8893946879) and next prime (8893946881).

It is a super-2 number, since 2×8893946880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8893946881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88058830 + ... + 88058930.

Almost surely, 2^8893946880 is an apocalyptic number.

8893946880 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 8893946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19994113440).

8893946880 is an abundant number, since it is smaller than the sum of its proper divisors (31094280000).

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

8893946880 is a wasteful number, since it uses less digits than its factorization.

8893946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The square root of 8893946880 is about 94307.7243920136. The cubic root of 8893946880 is about 2071.8811716611.

The spelling of 8893946880 in words is "eight billion, eight hundred ninety-three million, nine hundred forty-six thousand, eight hundred eighty".