20007000 has 320 divisors, whose sum is σ = 79279200. Its totient is φ = 4665600.

The previous prime is 20006993. The next prime is 20007017. The reversal of 20007000 is 70002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1052991 + ... + 1053009.

Almost surely, 2^20007000 is an apocalyptic number.

20007000 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 20007000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39639600).

20007000 is an abundant number, since it is smaller than the sum of its proper divisors (59272200).

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

20007000 is a wasteful number, since it uses less digits than its factorization.

20007000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 9.

The square root of 20007000 is about 4472.9185103241. The cubic root of 20007000 is about 271.4734261711.

Adding to 20007000 its reverse (70002), we get a palindrome (20077002).

The spelling of 20007000 in words is "twenty million, seven thousand".