20774880 has 240 divisors, whose sum is σ = 84157920. Its totient is φ = 4727808.

The previous prime is 20774869. The next prime is 20774881. The reversal of 20774880 is 8847702.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20774881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90606 + ... + 90834.

It is an arithmetic number, because the mean of its divisors is an integer number (350658).

Almost surely, 2^20774880 is an apocalyptic number.

20774880 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 20774880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42078960).

20774880 is an abundant number, since it is smaller than the sum of its proper divisors (63383040).

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

20774880 is a wasteful number, since it uses less digits than its factorization.

20774880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 20774880 is about 4557.9469062287. The cubic root of 20774880 is about 274.9030181439.

The spelling of 20774880 in words is "twenty million, seven hundred seventy-four thousand, eight hundred eighty".