20265600 has 96 divisors (see below), whose sum is σ = 66781440. Its totient is φ = 5401600.

The previous prime is 20265593. The next prime is 20265611. The reversal of 20265600 is 656202.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8545 + ... + 10655.

It is an arithmetic number, because the mean of its divisors is an integer number (695640).

Almost surely, 2^20265600 is an apocalyptic number.

20265600 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 20265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33390720).

20265600 is an abundant number, since it is smaller than the sum of its proper divisors (46515840).

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

20265600 is a wasteful number, since it uses less digits than its factorization.

20265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 20265600 is about 4501.7329996347. The cubic root of 20265600 is about 272.6380637523.

It can be divided in two parts, 2026 and 5600, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 20265600 in words is "twenty million, two hundred sixty-five thousand, six hundred".