20253600 has 216 divisors, whose sum is σ = 74643660. Its totient is φ = 5160960.

The previous prime is 20253589. The next prime is 20253661. The reversal of 20253600 is 635202.

It can be written as a sum of positive squares in 6 ways, for example, as 7033104 + 13220496 = 2652^2 + 3636^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 208752 + ... + 208848.

Almost surely, 2^20253600 is an apocalyptic number.

20253600 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 20253600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37321830).

20253600 is an abundant number, since it is smaller than the sum of its proper divisors (54390060).

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

20253600 is a wasteful number, since it uses less digits than its factorization.

20253600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 20253600 is about 4500.3999822238. The cubic root of 20253600 is about 272.5842401508.

Adding to 20253600 its reverse (635202), we get a palindrome (20888802).

It can be divided in two parts, 2025 and 3600, that multiplied together give a square (7290000 = 2700²).

The spelling of 20253600 in words is "twenty million, two hundred fifty-three thousand, six hundred".