889349760 has 512 divisors, whose sum is σ = 3516307200. Its totient is φ = 211009536.

The previous prime is 889349647. The next prime is 889349761. The reversal of 889349760 is 67943988.

889349760 is a `hidden beast` number, since 8 + 8 + 93 + 497 + 60 = 666.

It is a super-2 number, since 2×889349760² = 1581885991224115200, which contains 22 as substring.

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 = 889349697 and 889349706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (889349761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8311627 + ... + 8311733.

Almost surely, 2^889349760 is an apocalyptic number.

889349760 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 889349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758153600).

889349760 is an abundant number, since it is smaller than the sum of its proper divisors (2626957440).

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

889349760 is a wasteful number, since it uses less digits than its factorization.

889349760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 167 counting only the distinct ones).

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

The square root of 889349760 is about 29821.9677419180. The cubic root of 889349760 is about 961.6658576179.

It can be divided in two parts, 8893 and 49760, that added together give a triangular number (58653 = T₃₄₂).

The spelling of 889349760 in words is "eight hundred eighty-nine million, three hundred forty-nine thousand, seven hundred sixty".