20894880 has 96 divisors (see below), whose sum is σ = 66624768. Its totient is φ = 5504000.

The previous prime is 20894869. The next prime is 20894911. The reversal of 20894880 is 8849802.

It is a happy number.

20894880 is a nontrivial binomial coefficient, being equal to C(6465, 2).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48265 + ... + 48695.

It is an arithmetic number, because the mean of its divisors is an integer number (694008).

Almost surely, 2^20894880 is an apocalyptic number.

20894880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20894880 is the 6464-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20894880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33312384).

20894880 is an abundant number, since it is smaller than the sum of its proper divisors (45729888).

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

20894880 is a wasteful number, since it uses less digits than its factorization.

20894880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 20894880 is about 4571.0917733076. The cubic root of 20894880 is about 275.4313011689.

The spelling of 20894880 in words is "twenty million, eight hundred ninety-four thousand, eight hundred eighty".