1090054272 has 128 divisors (see below), whose sum is σ = 3059804160. Its totient is φ = 343135232.

The previous prime is 1090054247. The next prime is 1090054279. The reversal of 1090054272 is 2724500901.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1090054279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 732313 + ... + 733799.

It is an arithmetic number, because the mean of its divisors is an integer number (23904720).

Almost surely, 2^1090054272 is an apocalyptic number.

1090054272 is a gapful number since it is divisible by the number (12) 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 1090054272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529902080).

1090054272 is an abundant number, since it is smaller than the sum of its proper divisors (1969749888).

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

1090054272 is a wasteful number, since it uses less digits than its factorization.

1090054272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1090054272 is about 33015.9699539480. The cubic root of 1090054272 is about 1029.1595469057.

The spelling of 1090054272 in words is "one billion, ninety million, fifty-four thousand, two hundred seventy-two".