1041632592 has 480 divisors, whose sum is σ = 3894750720. Its totient is φ = 235146240.

The previous prime is 1041632591. The next prime is 1041632597. The reversal of 1041632592 is 2952361401.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041632591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6390303 + ... + 6390465.

It is an arithmetic number, because the mean of its divisors is an integer number (8114064).

Almost surely, 2^1041632592 is an apocalyptic number.

1041632592 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 1041632592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947375360).

1041632592 is an abundant number, since it is smaller than the sum of its proper divisors (2853118128).

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

1041632592 is a wasteful number, since it uses less digits than its factorization.

1041632592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1041632592 is about 32274.3333316120. Note that the first 5 decimals coincide. The cubic root of 1041632592 is about 1013.6892791947.

Adding to 1041632592 its reverse (2952361401), we get a palindrome (3993993993).

The spelling of 1041632592 in words is "one billion, forty-one million, six hundred thirty-two thousand, five hundred ninety-two".