20503680 has 128 divisors (see below), whose sum is σ = 66830400. Its totient is φ = 5345280.

The previous prime is 20503673. The next prime is 20503687. The reversal of 20503680 is 8630502.

It is an interprime number because it is at equal distance from previous prime (20503673) and next prime (20503687).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20503680.

It is not an unprimeable number, because it can be changed into a prime (20503687) 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, 113190 + ... + 113370.

Almost surely, 2^20503680 is an apocalyptic number.

20503680 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 20503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33415200).

20503680 is an abundant number, since it is smaller than the sum of its proper divisors (46326720).

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

20503680 is a wasteful number, since it uses less digits than its factorization.

20503680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 20503680 is about 4528.0989388484. The cubic root of 20503680 is about 273.7015593695.

The spelling of 20503680 in words is "twenty million, five hundred three thousand, six hundred eighty".