1049600 has 66 divisors (see below), whose sum is σ = 2665194. Its totient is φ = 409600.

The previous prime is 1049599. The next prime is 1049603. The reversal of 1049600 is 69401.

It can be written as a sum of positive squares in 3 ways, for example, as 1024 + 1048576 = 32^2 + 1024^2 .

It is a super-2 number, since 2×1049600² = 2203320320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1049603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25580 + ... + 25620.

2^1049600 is an apocalyptic number.

1049600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 1024×1025.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332597).

1049600 is an abundant number, since it is smaller than the sum of its proper divisors (1615594).

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

1049600 is an equidigital number, since it uses as much as digits as its factorization.

1049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1049600 is about 1024.4998779893. The cubic root of 1049600 is about 101.6267274218.

The spelling of 1049600 in words is "one million, forty-nine thousand, six hundred".