20829360 has 80 divisors (see below), whose sum is σ = 65710080. Its totient is φ = 5456640.

The previous prime is 20829349. The next prime is 20829433. The reversal of 20829360 is 6392802.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 13425 + ... + 14895.

It is an arithmetic number, because the mean of its divisors is an integer number (821376).

Almost surely, 2^20829360 is an apocalyptic number.

20829360 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 20829360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32855040).

20829360 is an abundant number, since it is smaller than the sum of its proper divisors (44880720).

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

20829360 is a wasteful number, since it uses less digits than its factorization.

20829360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 20829360 is about 4563.9193682623. The cubic root of 20829360 is about 275.1431100856.

The spelling of 20829360 in words is "twenty million, eight hundred twenty-nine thousand, three hundred sixty".