10829070 has 48 divisors (see below), whose sum is σ = 32179680. Its totient is φ = 2475072.

The previous prime is 10829053. The next prime is 10829099. The reversal of 10829070 is 7092801.

10829070 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7965 + ... + 9224.

It is an arithmetic number, because the mean of its divisors is an integer number (670410).

Almost surely, 2^10829070 is an apocalyptic number.

10829070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10829070 is an abundant number, since it is smaller than the sum of its proper divisors (21350610).

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

10829070 is a wasteful number, since it uses less digits than its factorization.

10829070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17209 (or 17206 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 10829070 is about 3290.7552324656. The cubic root of 10829070 is about 221.2400359393.

The spelling of 10829070 in words is "ten million, eight hundred twenty-nine thousand, seventy".