1000240320 has 112 divisors (see below), whose sum is σ = 3223369728. Its totient is φ = 262732800.

The previous prime is 1000240303. The next prime is 1000240333. The reversal of 1000240320 is 230420001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1000240296 and 1000240305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56545 + ... + 72095.

Almost surely, 2^1000240320 is an apocalyptic number.

1000240320 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 1000240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611684864).

1000240320 is an abundant number, since it is smaller than the sum of its proper divisors (2223129408).

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

1000240320 is a wasteful number, since it uses less digits than its factorization.

1000240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15638 (or 15628 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1000240320 is about 31626.5761662561. The cubic root of 1000240320 is about 1000.0801002504.

Adding to 1000240320 its reverse (230420001), we get a palindrome (1230660321).

The spelling of 1000240320 in words is "one billion, two hundred forty thousand, three hundred twenty".