20947680 has 192 divisors, whose sum is σ = 79168320. Its totient is φ = 5142528.

The previous prime is 20947669. The next prime is 20947727. The reversal of 20947680 is 8674902.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 55974 + ... + 56346.

It is an arithmetic number, because the mean of its divisors is an integer number (412335).

Almost surely, 2^20947680 is an apocalyptic number.

20947680 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 20947680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39584160).

20947680 is an abundant number, since it is smaller than the sum of its proper divisors (58220640).

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

20947680 is a wasteful number, since it uses less digits than its factorization.

20947680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 20947680 is about 4576.8635548812. The cubic root of 20947680 is about 275.6631050099.

The spelling of 20947680 in words is "twenty million, nine hundred forty-seven thousand, six hundred eighty".