20007240 has 128 divisors (see below), whose sum is σ = 68428800. Its totient is φ = 4632320.

The previous prime is 20007223. The next prime is 20007257. The reversal of 20007240 is 4270002.

It is an interprime number because it is at equal distance from previous prime (20007223) and next prime (20007257).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30031 + ... + 30689.

It is an arithmetic number, because the mean of its divisors is an integer number (534600).

Almost surely, 2^20007240 is an apocalyptic number.

20007240 is a gapful number since it is divisible by the number (20) 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 20007240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34214400).

20007240 is an abundant number, since it is smaller than the sum of its proper divisors (48421560).

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

20007240 is a wasteful number, since it uses less digits than its factorization.

20007240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 20007240 is about 4472.9453383649. The cubic root of 20007240 is about 271.4745116805.

Adding to 20007240 its reverse (4270002), we get a palindrome (24277242).

The spelling of 20007240 in words is "twenty million, seven thousand, two hundred forty".