1090083456 has 192 divisors, whose sum is σ = 3911169600. Its totient is φ = 283115520.

The previous prime is 1090083451. The next prime is 1090083479. The reversal of 1090083456 is 6543800901.

1090083456 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1090083456.

It is not an unprimeable number, because it can be changed into a prime (1090083451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82560 + ... + 94848.

It is an arithmetic number, because the mean of its divisors is an integer number (20370675).

Almost surely, 2^1090083456 is an apocalyptic number.

1090083456 is a gapful number since it is divisible by the number (16) 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 1090083456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955584800).

1090083456 is an abundant number, since it is smaller than the sum of its proper divisors (2821086144).

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

1090083456 is a wasteful number, since it uses less digits than its factorization.

1090083456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12327 (or 12312 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1090083456 is about 33016.4119189230. The cubic root of 1090083456 is about 1029.1687313794.

The spelling of 1090083456 in words is "one billion, ninety million, eighty-three thousand, four hundred fifty-six".