20742000 has 80 divisors (see below), whose sum is σ = 66891552. Its totient is φ = 5529600.

The previous prime is 20741947. The next prime is 20742017. The reversal of 20742000 is 24702.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4272 + ... + 7728.

Almost surely, 2^20742000 is an apocalyptic number.

20742000 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 20742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33445776).

20742000 is an abundant number, since it is smaller than the sum of its proper divisors (46149552).

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

20742000 is a wasteful number, since it uses less digits than its factorization.

20742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 20742000 is about 4554.3385908384. The cubic root of 20742000 is about 274.7579136723.

Adding to 20742000 its reverse (24702), we get a palindrome (20766702).

The spelling of 20742000 in words is "twenty million, seven hundred forty-two thousand".