1240884000 has 144 divisors (see below), whose sum is σ = 4404025080. Its totient is φ = 330892800.

The previous prime is 1240883999. The next prime is 1240884061. The reversal of 1240884000 is 4880421.

It can be written as a sum of positive squares in 4 ways, for example, as 424524816 + 816359184 = 20604^2 + 28572^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18766 + ... + 53234.

Almost surely, 2^1240884000 is an apocalyptic number.

1240884000 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 1240884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202012540).

1240884000 is an abundant number, since it is smaller than the sum of its proper divisors (3163141080).

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

1240884000 is a wasteful number, since it uses less digits than its factorization.

1240884000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34500 (or 34479 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1240884000 is about 35226.1834435694. The cubic root of 1240884000 is about 1074.5923097996.

The spelling of 1240884000 in words is "one billion, two hundred forty million, eight hundred eighty-four thousand".