20742480 has 240 divisors, whose sum is σ = 79619904. Its totient is φ = 4976640.

The previous prime is 20742479. The next prime is 20742487. The reversal of 20742480 is 8424702.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20742487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213792 + ... + 213888.

Almost surely, 2^20742480 is an apocalyptic number.

20742480 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 20742480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39809952).

20742480 is an abundant number, since it is smaller than the sum of its proper divisors (58877424).

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

20742480 is a wasteful number, since it uses less digits than its factorization.

20742480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 20742480 is about 4554.3912875378. The cubic root of 20742480 is about 274.7600330884.

It can be divided in two parts, 2074 and 2480, that added together give a palindrome (4554).

The spelling of 20742480 in words is "twenty million, seven hundred forty-two thousand, four hundred eighty".