20955400 has 48 divisors (see below), whose sum is σ = 50415300. Its totient is φ = 8090880.

The previous prime is 20955397. The next prime is 20955401. The reversal of 20955400 is 455902.

It can be written as a sum of positive squares in 6 ways, for example, as 1542564 + 19412836 = 1242^2 + 4406^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (20955401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3994 + ... + 7606.

Almost surely, 2^20955400 is an apocalyptic number.

20955400 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 20955400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25207650).

20955400 is an abundant number, since it is smaller than the sum of its proper divisors (29459900).

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

20955400 is a wasteful number, since it uses less digits than its factorization.

20955400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 20955400 is about 4577.7068495045. The cubic root of 20955400 is about 275.6969648899.

The spelling of 20955400 in words is "twenty million, nine hundred fifty-five thousand, four hundred".