9089252640 has 432 divisors, whose sum is σ = 35578401768. Its totient is φ = 2105745408.

The previous prime is 9089252639. The next prime is 9089252647. The reversal of 9089252640 is 462529809.

9089252640 is a `hidden beast` number, since 9 + 0 + 89 + 2 + 526 + 40 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 8403022224 + 686230416 = 91668^2 + 26196^2 .

It is a super-2 number, since 2×9089252640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9089252647) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 534661912 + ... + 534661928.

Almost surely, 2^9089252640 is an apocalyptic number.

9089252640 is a gapful number since it is divisible by the number (90) 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 9089252640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17789200884).

9089252640 is an abundant number, since it is smaller than the sum of its proper divisors (26489149128).

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

9089252640 is an equidigital number, since it uses as much as digits as its factorization.

9089252640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 9089252640 is about 95337.5720269821. The cubic root of 9089252640 is about 2086.9372536899.

The spelling of 9089252640 in words is "nine billion, eighty-nine million, two hundred fifty-two thousand, six hundred forty".