1032945606 has 192 divisors, whose sum is σ = 2983219200. Its totient is φ = 250387200.

The previous prime is 1032945523. The next prime is 1032945679. The reversal of 1032945606 is 6065492301.

It is a happy number.

1032945606 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 9 + 45 + 606 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1245600 + ... + 1246428.

It is an arithmetic number, because the mean of its divisors is an integer number (15537600).

Almost surely, 2^1032945606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032945606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491609600).

1032945606 is an abundant number, since it is smaller than the sum of its proper divisors (1950273594).

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

1032945606 is a wasteful number, since it uses less digits than its factorization.

1032945606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1032945606 is about 32139.4711530853. The cubic root of 1032945606 is about 1010.8634272689.

It can be divided in two parts, 103294 and 5606, that added together give a square (108900 = 330²).

The spelling of 1032945606 in words is "one billion, thirty-two million, nine hundred forty-five thousand, six hundred six".