1033872630 has 192 divisors, whose sum is σ = 3019991040. Its totient is φ = 221771520.

The previous prime is 1033872617. The next prime is 1033872641. The reversal of 1033872630 is 362783301.

It is a junction number, because it is equal to n+sod(n) for n = 1033872591 and 1033872600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9485016 + ... + 9485124.

It is an arithmetic number, because the mean of its divisors is an integer number (15729120).

Almost surely, 2^1033872630 is an apocalyptic number.

1033872630 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 1033872630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509995520).

1033872630 is an abundant number, since it is smaller than the sum of its proper divisors (1986118410).

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

1033872630 is a wasteful number, since it uses less digits than its factorization.

1033872630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 1033872630 is about 32153.8898113432. The cubic root of 1033872630 is about 1011.1657389164.

The spelling of 1033872630 in words is "one billion, thirty-three million, eight hundred seventy-two thousand, six hundred thirty".