1081624128 has 224 divisors, whose sum is σ = 3269016576. Its totient is φ = 313116672.

The previous prime is 1081624127. The next prime is 1081624129. The reversal of 1081624128 is 8214261801.

It is an interprime number because it is at equal distance from previous prime (1081624127) and next prime (1081624129).

It is not an unprimeable number, because it can be changed into a prime (1081624127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4764751 + ... + 4764977.

It is an arithmetic number, because the mean of its divisors is an integer number (14593824).

Almost surely, 2^1081624128 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 1081624128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634508288).

1081624128 is an abundant number, since it is smaller than the sum of its proper divisors (2187392448).

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

1081624128 is a wasteful number, since it uses less digits than its factorization.

1081624128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 1081624128 is about 32888.0544879140. The cubic root of 1081624128 is about 1026.4996103816.

Adding to 1081624128 its reverse (8214261801), we get a palindrome (9295885929).

The spelling of 1081624128 in words is "one billion, eighty-one million, six hundred twenty-four thousand, one hundred twenty-eight".