20493648 has 140 divisors (see below), whose sum is σ = 68308128. Its totient is φ = 5832000.

The previous prime is 20493637. The next prime is 20493659. The reversal of 20493648 is 84639402.

It is a happy number.

20493648 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 3 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (20493637) and next prime (20493659).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 81523 + ... + 81773.

Almost surely, 2^20493648 is an apocalyptic number.

20493648 is a gapful number since it is divisible by the number (28) 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 20493648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34154064).

20493648 is an abundant number, since it is smaller than the sum of its proper divisors (47814480).

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

20493648 is an equidigital number, since it uses as much as digits as its factorization.

20493648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 20493648 is about 4526.9910536691. The cubic root of 20493648 is about 273.6569133680.

The spelling of 20493648 in words is "twenty million, four hundred ninety-three thousand, six hundred forty-eight".