1033832640 has 112 divisors (see below), whose sum is σ = 3388400640. Its totient is φ = 266787840.

The previous prime is 1033832623. The next prime is 1033832641. The reversal of 1033832640 is 462383301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1033832598 and 1033832607.

It is not an unprimeable number, because it can be changed into a prime (1033832641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12391 + ... + 47129.

Almost surely, 2^1033832640 is an apocalyptic number.

1033832640 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 1033832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694200320).

1033832640 is an abundant number, since it is smaller than the sum of its proper divisors (2354568000).

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

1033832640 is a wasteful number, since it uses less digits than its factorization.

1033832640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34790 (or 34780 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 1033832640 is about 32153.2679521071. The cubic root of 1033832640 is about 1011.1527015144.

The spelling of 1033832640 in words is "one billion, thirty-three million, eight hundred thirty-two thousand, six hundred forty".