1083906432 has 192 divisors, whose sum is σ = 3593990400. Its totient is φ = 307141632.

The previous prime is 1083906431. The next prime is 1083906449. The reversal of 1083906432 is 2346093801.

1083906432 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 9 + 0 + 643 + 2 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083906431) 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, 1120413 + ... + 1121379.

It is an arithmetic number, because the mean of its divisors is an integer number (18718700).

Almost surely, 2^1083906432 is an apocalyptic number.

1083906432 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 1083906432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796995200).

1083906432 is an abundant number, since it is smaller than the sum of its proper divisors (2510083968).

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

1083906432 is a wasteful number, since it uses less digits than its factorization.

1083906432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1083906432 is about 32922.7342728395. The cubic root of 1083906432 is about 1027.2210989348.

The spelling of 1083906432 in words is "one billion, eighty-three million, nine hundred six thousand, four hundred thirty-two".