1032633040 has 80 divisors (see below), whose sum is σ = 2552033088. Its totient is φ = 387237888.

The previous prime is 1032633013. The next prime is 1032633103. The reversal of 1032633040 is 403362301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383539 + ... + 386221.

Almost surely, 2^1032633040 is an apocalyptic number.

1032633040 is a gapful number since it is divisible by the number (10) 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 1032633040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276016544).

1032633040 is an abundant number, since it is smaller than the sum of its proper divisors (1519400048).

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

1032633040 is a wasteful number, since it uses less digits than its factorization.

1032633040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 1032633040 is about 32134.6081351555. The cubic root of 1032633040 is about 1010.7614556481.

Adding to 1032633040 its reverse (403362301), we get a palindrome (1435995341).

The spelling of 1032633040 in words is "one billion, thirty-two million, six hundred thirty-three thousand, forty".