1089474624 has 210 divisors, whose sum is σ = 3757692510. Its totient is φ = 311205888.

The previous prime is 1089474619. The next prime is 1089474629. The reversal of 1089474624 is 4264749801.

1089474624 is a `hidden beast` number, since 10 + 8 + 9 + 4 + 7 + 4 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (1089474619) and next prime (1089474629).

It can be written as a sum of positive squares in only one way, i.e., 1073217600 + 16257024 = 32760^2 + 4032^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1089474624.

It is not an unprimeable number, because it can be changed into a prime (1089474629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 251872 + ... + 256160.

Almost surely, 2^1089474624 is an apocalyptic number.

1089474624 is a gapful number since it is divisible by the number (14) 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 1089474624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878846255).

1089474624 is an abundant number, since it is smaller than the sum of its proper divisors (2668217886).

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

1089474624 is an equidigital number, since it uses as much as digits as its factorization.

1089474624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4327 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1089474624 is about 33007.1904893464. The cubic root of 1089474624 is about 1028.9770923680.

The spelling of 1089474624 in words is "one billion, eighty-nine million, four hundred seventy-four thousand, six hundred twenty-four".