20405088 has 192 divisors, whose sum is σ = 68947200. Its totient is φ = 5806080.

The previous prime is 20405081. The next prime is 20405089. The reversal of 20405088 is 88050402.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20405081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180520 + ... + 180632.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 2^20405088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20405088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34473600).

20405088 is an abundant number, since it is smaller than the sum of its proper divisors (48542112).

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

20405088 is a wasteful number, since it uses less digits than its factorization.

20405088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 20405088 is about 4517.1991322057. The cubic root of 20405088 is about 273.2621560982.

The spelling of 20405088 in words is "twenty million, four hundred five thousand, eighty-eight".