20746880 has 128 divisors (see below), whose sum is σ = 61983360. Its totient is φ = 6451200.

The previous prime is 20746853. The next prime is 20746883. The reversal of 20746880 is 8864702.

It is a tau number, because it is divible by the number of its divisors (128).

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 Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 20746880.

It is not an unprimeable number, because it can be changed into a prime (20746883) 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, 49070 + ... + 49490.

It is an arithmetic number, because the mean of its divisors is an integer number (484245).

Almost surely, 2^20746880 is an apocalyptic number.

20746880 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 20746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30991680).

20746880 is an abundant number, since it is smaller than the sum of its proper divisors (41236480).

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

20746880 is a wasteful number, since it uses less digits than its factorization.

20746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 20746880 is about 4554.8743122066. The cubic root of 20746880 is about 274.7794595451.

The spelling of 20746880 in words is "twenty million, seven hundred forty-six thousand, eight hundred eighty".