896988960 has 576 divisors, whose sum is σ = 3770178048. Its totient is φ = 189775872.

The previous prime is 896988949. The next prime is 896988971. The reversal of 896988960 is 69889698.

It is an interprime number because it is at equal distance from previous prime (896988949) and next prime (896988971).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12287484 + ... + 12287556.

It is an arithmetic number, because the mean of its divisors is an integer number (6545448).

Almost surely, 2^896988960 is an apocalyptic number.

896988960 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 896988960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885089024).

896988960 is an abundant number, since it is smaller than the sum of its proper divisors (2873189088).

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

896988960 is a wasteful number, since it uses less digits than its factorization.

896988960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The square root of 896988960 is about 29949.7739557413. The cubic root of 896988960 is about 964.4114678559.

The spelling of 896988960 in words is "eight hundred ninety-six million, nine hundred eighty-eight thousand, nine hundred sixty".