1009061088 has 96 divisors (see below), whose sum is σ = 3069964800. Its totient is φ = 284229120.

The previous prime is 1009061087. The next prime is 1009061089. The reversal of 1009061088 is 8801609001.

It is an interprime number because it is at equal distance from previous prime (1009061087) and next prime (1009061089).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009061087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37138 + ... + 58286.

It is an arithmetic number, because the mean of its divisors is an integer number (31978800).

Almost surely, 2^1009061088 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 1009061088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534982400).

1009061088 is an abundant number, since it is smaller than the sum of its proper divisors (2060903712).

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

1009061088 is a wasteful number, since it uses less digits than its factorization.

1009061088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21240 (or 21232 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 1009061088 is about 31765.7219027051. The cubic root of 1009061088 is about 1003.0112857230.

The spelling of 1009061088 in words is "one billion, nine million, sixty-one thousand, eighty-eight".