1048800 has 144 divisors (see below), whose sum is σ = 3749760. Its totient is φ = 253440.

The previous prime is 1048799. The next prime is 1048807. The reversal of 1048800 is 88401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1048807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45589 + ... + 45611.

It is an arithmetic number, because the mean of its divisors is an integer number (26040).

2^1048800 is an apocalyptic number.

1048800 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 1048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874880).

1048800 is an abundant number, since it is smaller than the sum of its proper divisors (2700960).

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

1048800 is a wasteful number, since it uses less digits than its factorization.

1048800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 1048800 is about 1024.1093691594. The cubic root of 1048800 is about 101.6009010605.

The spelling of 1048800 in words is "one million, forty-eight thousand, eight hundred".