20741424 has 80 divisors (see below), whose sum is σ = 59055744. Its totient is φ = 6220800.

The previous prime is 20741401. The next prime is 20741447. The reversal of 20741424 is 42414702.

It is an interprime number because it is at equal distance from previous prime (20741401) and next prime (20741447).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 20741394 and 20741403.

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, 85944 + ... + 86184.

Almost surely, 2^20741424 is an apocalyptic number.

20741424 is a gapful number since it is divisible by the number (24) 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 20741424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29527872).

20741424 is an abundant number, since it is smaller than the sum of its proper divisors (38314320).

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

20741424 is a wasteful number, since it uses less digits than its factorization.

20741424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 20741424 is about 4554.2753539943. The cubic root of 20741424 is about 274.7553703299.

The spelling of 20741424 in words is "twenty million, seven hundred forty-one thousand, four hundred twenty-four".