20741000 has 64 divisors (see below), whose sum is σ = 55486080. Its totient is φ = 7108800.

The previous prime is 20740999. The next prime is 20741029. The reversal of 20741000 is 14702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5519 + ... + 8481.

It is an arithmetic number, because the mean of its divisors is an integer number (866970).

Almost surely, 2^20741000 is an apocalyptic number.

20741000 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 20741000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27743040).

20741000 is an abundant number, since it is smaller than the sum of its proper divisors (34745080).

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

20741000 is a wasteful number, since it uses less digits than its factorization.

20741000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 20741000 is about 4554.2288040897. The cubic root of 20741000 is about 274.7534981173.

Adding to 20741000 its reverse (14702), we get a palindrome (20755702).

The spelling of 20741000 in words is "twenty million, seven hundred forty-one thousand".