1006121088 has 192 divisors, whose sum is σ = 3432112320. Its totient is φ = 287400960.

The previous prime is 1006121087. The next prime is 1006121093. The reversal of 1006121088 is 8801216001.

It is a tau number, because it is divible by the number of its divisors (192).

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 (1006121087) 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 23 ways as a sum of consecutive naturals, for example, 215418 + ... + 220038.

It is an arithmetic number, because the mean of its divisors is an integer number (17875585).

Almost surely, 2^1006121088 is an apocalyptic number.

1006121088 is a gapful number since it is divisible by the number (18) 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 1006121088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716056160).

1006121088 is an abundant number, since it is smaller than the sum of its proper divisors (2425991232).

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

1006121088 is an frugal number, since it uses more digits than its factorization.

1006121088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4657 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1006121088 is about 31719.4118482673. The cubic root of 1006121088 is about 1002.0362136863.

Adding to 1006121088 its reverse (8801216001), we get a palindrome (9807337089).

The spelling of 1006121088 in words is "one billion, six million, one hundred twenty-one thousand, eighty-eight".