889276416 has 384 divisors, whose sum is σ = 3019161600. Its totient is φ = 227082240.

The previous prime is 889276411. The next prime is 889276459. The reversal of 889276416 is 614672988.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (889276411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28686321 + ... + 28686351.

It is an arithmetic number, because the mean of its divisors is an integer number (7862400).

Almost surely, 2^889276416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 889276416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509580800).

889276416 is an abundant number, since it is smaller than the sum of its proper divisors (2129885184).

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

889276416 is a wasteful number, since it uses less digits than its factorization.

889276416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 95 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 889276416 is about 29820.7380190363. The cubic root of 889276416 is about 961.6394209400.

The spelling of 889276416 in words is "eight hundred eighty-nine million, two hundred seventy-six thousand, four hundred sixteen".