896256144 has 240 divisors, whose sum is σ = 3106765440. Its totient is φ = 242300160.

The previous prime is 896256131. The next prime is 896256173. The reversal of 896256144 is 441652698.

896256144 is a `hidden beast` number, since 8 + 9 + 6 + 25 + 614 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 896256144.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1091254 + ... + 1092074.

It is an arithmetic number, because the mean of its divisors is an integer number (12944856).

Almost surely, 2^896256144 is an apocalyptic number.

896256144 is a gapful number since it is divisible by the number (84) 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 896256144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553382720).

896256144 is an abundant number, since it is smaller than the sum of its proper divisors (2210509296).

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

896256144 is a wasteful number, since it uses less digits than its factorization.

896256144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 852 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 896256144 is about 29937.5373736719. The cubic root of 896256144 is about 964.1487635067.

The spelling of 896256144 in words is "eight hundred ninety-six million, two hundred fifty-six thousand, one hundred forty-four".