20958380 has 48 divisors (see below), whose sum is σ = 45934560. Its totient is φ = 8025600.

The previous prime is 20958361. The next prime is 20958383. The reversal of 20958380 is 8385902.

20958380 = T₉ + T₁₀ + ... + T₅₀₀.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 20958380.

It is not an unprimeable number, because it can be changed into a prime (20958383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49811 + ... + 50229.

It is an arithmetic number, because the mean of its divisors is an integer number (956970).

Almost surely, 2^20958380 is an apocalyptic number.

20958380 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 20958380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22967280).

20958380 is an abundant number, since it is smaller than the sum of its proper divisors (24976180).

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

20958380 is a wasteful number, since it uses less digits than its factorization.

20958380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 20958380 is about 4578.0323284136. The cubic root of 20958380 is about 275.7100329299.

It can be divided in two parts, 2095 and 8380, that multiplied together give a square (17556100 = 4190²).

The spelling of 20958380 in words is "twenty million, nine hundred fifty-eight thousand, three hundred eighty".