1033218640 has 40 divisors (see below), whose sum is σ = 2435154408. Its totient is φ = 407623680.

The previous prime is 1033218619. The next prime is 1033218653. The reversal of 1033218640 is 468123301.

1033218640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 126967824 + 906250816 = 11268^2 + 30104^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1033218599 and 1033218608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82621 + ... + 94300.

Almost surely, 2^1033218640 is an apocalyptic number.

1033218640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1033218640 is an abundant number, since it is smaller than the sum of its proper divisors (1401935768).

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

1033218640 is a wasteful number, since it uses less digits than its factorization.

1033218640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177007 (or 177001 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 1033218640 is about 32143.7185154425. The cubic root of 1033218640 is about 1010.9524851274.

The spelling of 1033218640 in words is "one billion, thirty-three million, two hundred eighteen thousand, six hundred forty".