20624000 has 64 divisors (see below), whose sum is σ = 51316200. Its totient is φ = 8243200.

The previous prime is 20623997. The next prime is 20624003. The reversal of 20624000 is 42602.

It is an interprime number because it is at equal distance from previous prime (20623997) and next prime (20624003).

It can be written as a sum of positive squares in 4 ways, for example, as 9388096 + 11235904 = 3064^2 + 3352^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (20624003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15356 + ... + 16644.

Almost surely, 2^20624000 is an apocalyptic number.

20624000 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 20624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25658100).

20624000 is an abundant number, since it is smaller than the sum of its proper divisors (30692200).

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

20624000 is an equidigital number, since it uses as much as digits as its factorization.

20624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 20624000 is about 4541.3654334352. The cubic root of 20624000 is about 274.2358953831.

Adding to 20624000 its reverse (42602), we get a palindrome (20666602).

The spelling of 20624000 in words is "twenty million, six hundred twenty-four thousand".