1032945120 has 72 divisors (see below), whose sum is σ = 3524930136. Its totient is φ = 275451648.

The previous prime is 1032945101. The next prime is 1032945131. The reversal of 1032945120 is 215492301.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 357222 + ... + 360101.

It is an arithmetic number, because the mean of its divisors is an integer number (48957363).

Almost surely, 2^1032945120 is an apocalyptic number.

1032945120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032945120 is an abundant number, since it is smaller than the sum of its proper divisors (2491985016).

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

1032945120 is a wasteful number, since it uses less digits than its factorization.

1032945120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717344 (or 717333 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1032945120 is about 32139.4635922879. The cubic root of 1032945120 is about 1010.8632687321.

The spelling of 1032945120 in words is "one billion, thirty-two million, nine hundred forty-five thousand, one hundred twenty".