1009622048 has 54 divisors (see below), whose sum is σ = 2052335943. Its totient is φ = 488903680.

The previous prime is 1009622039. The next prime is 1009622051. The reversal of 1009622048 is 8402269001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 93470224 + 916151824 = 9668^2 + 30268^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=22468.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 7369436 + ... + 7369572.

Almost surely, 2^1009622048 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 1009622048

1009622048 is an abundant number, since it is smaller than the sum of its proper divisors (1042713895).

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

1009622048 is an frugal number, since it uses more digits than its factorization.

1009622048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 1009622048 is about 31774.5503193987. The cubic root of 1009622048 is about 1003.1971168838.

Multiplying 1009622048 by its sum of digits (32), we get a square (32307905536 = 179744²).

1009622048 divided by its sum of digits (32) gives a square (31550689 = 5617²).

The spelling of 1009622048 in words is "one billion, nine million, six hundred twenty-two thousand, forty-eight".