1036896 has 48 divisors (see below), whose sum is σ = 3112704. Its totient is φ = 296064.

The previous prime is 1036883. The next prime is 1036913. The reversal of 1036896 is 6986301.

1036896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

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, 100 + ... + 1443.

It is an arithmetic number, because the mean of its divisors is an integer number (64848).

2^1036896 is an apocalyptic number.

1036896 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 1036896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556352).

1036896 is an abundant number, since it is smaller than the sum of its proper divisors (2075808).

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

1036896 is a wasteful number, since it uses less digits than its factorization.

1036896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1036896 is about 1018.2809042695. The cubic root of 1036896 is about 101.2150435645.

The spelling of 1036896 in words is "one million, thirty-six thousand, eight hundred ninety-six".