20954880 has 216 divisors, whose sum is σ = 77483952. Its totient is φ = 5210112.

The previous prime is 20954867. The next prime is 20954881. The reversal of 20954880 is 8845902.

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 (20954881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195787 + ... + 195893.

It is an arithmetic number, because the mean of its divisors is an integer number (358722).

Almost surely, 2^20954880 is an apocalyptic number.

20954880 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 20954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38741976).

20954880 is an abundant number, since it is smaller than the sum of its proper divisors (56529072).

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

20954880 is a wasteful number, since it uses less digits than its factorization.

20954880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 20954880 is about 4577.6500521556. The cubic root of 20954880 is about 275.6946844338.

It can be divided in two parts, 209548 and 80, that added together give a triangular number (209628 = T₆₄₇).

The spelling of 20954880 in words is "twenty million, nine hundred fifty-four thousand, eight hundred eighty".