4205088 has 96 divisors (see below), whose sum is σ = 12741120. Its totient is φ = 1347840.

The previous prime is 4205081. The next prime is 4205093. The reversal of 4205088 is 8805024.

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

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

It is not an unprimeable number, because it can be changed into a prime (4205081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26706 + ... + 26862.

It is an arithmetic number, because the mean of its divisors is an integer number (132720).

Almost surely, 2^4205088 is an apocalyptic number.

4205088 is a gapful number since it is divisible by the number (48) 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 4205088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6370560).

4205088 is an abundant number, since it is smaller than the sum of its proper divisors (8536032).

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

4205088 is a wasteful number, since it uses less digits than its factorization.

4205088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 193 counting only the distinct ones).

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

The square root of 4205088 is about 2050.6311223621. The cubic root of 4205088 is about 161.4079900966.

The spelling of 4205088 in words is "four million, two hundred five thousand, eighty-eight".