896820144 has 80 divisors (see below), whose sum is σ = 2532052224. Its totient is φ = 271264000.

The previous prime is 896820131. The next prime is 896820181. The reversal of 896820144 is 441028698.

896820144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 896820096 and 896820105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368917 + ... + 371339.

Almost surely, 2^896820144 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 896820144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266026112).

896820144 is an abundant number, since it is smaller than the sum of its proper divisors (1635232080).

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

896820144 is a wasteful number, since it uses less digits than its factorization.

896820144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 3140 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 896820144 is about 29946.9555046920. The cubic root of 896820144 is about 964.3509623543.

The spelling of 896820144 in words is "eight hundred ninety-six million, eight hundred twenty thousand, one hundred forty-four".