20004000 has 96 divisors (see below), whose sum is σ = 65572416. Its totient is φ = 5331200.

The previous prime is 20003981. The next prime is 20004001. The reversal of 20004000 is 40002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a self number, because there is not a number n which added to its sum of digits gives 20004000.

It is not an unprimeable number, because it can be changed into a prime (20004001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11167 + ... + 12833.

It is an arithmetic number, because the mean of its divisors is an integer number (683046).

Almost surely, 2^20004000 is an apocalyptic number.

20004000 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 20004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32786208).

20004000 is an abundant number, since it is smaller than the sum of its proper divisors (45568416).

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

20004000 is a wasteful number, since it uses less digits than its factorization.

20004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 20004000 is about 4472.5831462366. The cubic root of 20004000 is about 271.4598565707.

Adding to 20004000 its reverse (40002), we get a palindrome (20044002).

It can be divided in two parts, 2000 and 4000, that multiplied together give a cube (8000000 = 200³).

The spelling of 20004000 in words is "twenty million, four thousand".