10829360 has 20 divisors (see below), whose sum is σ = 25178448. Its totient is φ = 4331712.

The previous prime is 10829359. The next prime is 10829369. The reversal of 10829360 is 6392801.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (10829369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67604 + ... + 67763.

Almost surely, 2^10829360 is an apocalyptic number.

10829360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10829360 is an abundant number, since it is smaller than the sum of its proper divisors (14349088).

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

10829360 is a wasteful number, since it uses less digits than its factorization.

10829360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135380 (or 135374 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 10829360 is about 3290.7992950042. The cubic root of 10829360 is about 221.2420108407.

The spelling of 10829360 in words is "ten million, eight hundred twenty-nine thousand, three hundred sixty".