1096800 has 72 divisors (see below), whose sum is σ = 3577896. Its totient is φ = 291840.

The previous prime is 1096793. The next prime is 1096807. The reversal of 1096800 is 86901.

It is an interprime number because it is at equal distance from previous prime (1096793) and next prime (1096807).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1096807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2172 + ... + 2628.

It is an arithmetic number, because the mean of its divisors is an integer number (49693).

2^1096800 is an apocalyptic number.

1096800 is a gapful number since it is divisible by the number (10) 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 1096800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788948).

1096800 is an abundant number, since it is smaller than the sum of its proper divisors (2481096).

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

1096800 is a wasteful number, since it uses less digits than its factorization.

1096800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1096800 is about 1047.2821969269. The cubic root of 1096800 is about 103.1278144319.

The spelling of 1096800 in words is "one million, ninety-six thousand, eight hundred".