20008000 has 112 divisors (see below), whose sum is σ = 51590448. Its totient is φ = 7680000.

The previous prime is 20007979. The next prime is 20008019. The reversal of 20008000 is 80002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 17239104 + 2768896 = 4152^2 + 1664^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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, 327970 + ... + 328030.

It is an arithmetic number, because the mean of its divisors is an integer number (460629).

Almost surely, 2^20008000 is an apocalyptic number.

20008000 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 20008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25795224).

20008000 is an abundant number, since it is smaller than the sum of its proper divisors (31582448).

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

20008000 is an equidigital number, since it uses as much as digits as its factorization.

20008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 20008000 is about 4473.0302927657. The cubic root of 20008000 is about 271.4779490698.

Adding to 20008000 its reverse (80002), we get a palindrome (20088002).

It can be divided in two parts, 2000 and 8000, that multiplied together give a square (16000000 = 4000²).

The spelling of 20008000 in words is "twenty million, eight thousand".