20874168 has 96 divisors (see below), whose sum is σ = 65520000. Its totient is φ = 5880384.

The previous prime is 20874167. The next prime is 20874169. The reversal of 20874168 is 86147802.

It is an interprime number because it is at equal distance from previous prime (20874167) and next prime (20874169).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20874163) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 41583 + ... + 42081.

It is an arithmetic number, because the mean of its divisors is an integer number (682500).

Almost surely, 2^20874168 is an apocalyptic number.

20874168 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 20874168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32760000).

20874168 is an abundant number, since it is smaller than the sum of its proper divisors (44645832).

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

20874168 is a wasteful number, since it uses less digits than its factorization.

20874168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 20874168 is about 4568.8256696880. The cubic root of 20874168 is about 275.3402642086.

The spelling of 20874168 in words is "twenty million, eight hundred seventy-four thousand, one hundred sixty-eight".