1032566010 has 64 divisors (see below), whose sum is σ = 2849236992. Its totient is φ = 234593856.

The previous prime is 1032565999. The next prime is 1032566027. The reversal of 1032566010 is 106652301.

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 31 ways as a sum of consecutive naturals, for example, 20349 + ... + 49791.

It is an arithmetic number, because the mean of its divisors is an integer number (44519328).

Almost surely, 2^1032566010 is an apocalyptic number.

1032566010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032566010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424618496).

1032566010 is an abundant number, since it is smaller than the sum of its proper divisors (1816670982).

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

1032566010 is a wasteful number, since it uses less digits than its factorization.

1032566010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29627.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1032566010 is about 32133.5651616810. The cubic root of 1032566010 is about 1010.7395850824.

The spelling of 1032566010 in words is "one billion, thirty-two million, five hundred sixty-six thousand, ten".