1024896 has 64 divisors (see below), whose sum is σ = 2900880. Its totient is φ = 319488.

The previous prime is 1024883. The next prime is 1024901. The reversal of 1024896 is 6984201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6450 + ... + 6606.

2^1024896 is an apocalyptic number.

1024896 is a gapful number since it is divisible by the number (16) 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 1024896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450440).

1024896 is an abundant number, since it is smaller than the sum of its proper divisors (1875984).

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

1024896 is a wasteful number, since it uses less digits than its factorization.

1024896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1024896 is about 1012.3714733239. The cubic root of 1024896 is about 100.8230735791.

The spelling of 1024896 in words is "one million, twenty-four thousand, eight hundred ninety-six".