20382516 has 240 divisors, whose sum is σ = 71554560. Its totient is φ = 4898880.

The previous prime is 20382503. The next prime is 20382529. The reversal of 20382516 is 61528302.

It is an interprime number because it is at equal distance from previous prime (20382503) and next prime (20382529).

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

It is a self number, because there is not a number n which added to its sum of digits gives 20382516.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 473991 + ... + 474033.

It is an arithmetic number, because the mean of its divisors is an integer number (298144).

Almost surely, 2^20382516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20382516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35777280).

20382516 is an abundant number, since it is smaller than the sum of its proper divisors (51172044).

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

20382516 is a wasteful number, since it uses less digits than its factorization.

20382516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 20382516 is about 4514.6999900326. The cubic root of 20382516 is about 273.1613585398.

It can be divided in two parts, 203825 and 16, that added together give a triangular number (203841 = T₆₃₈).

The spelling of 20382516 in words is "twenty million, three hundred eighty-two thousand, five hundred sixteen".