10742832 has 60 divisors (see below), whose sum is σ = 30582864. Its totient is φ = 3519360.

The previous prime is 10742807. The next prime is 10742869. The reversal of 10742832 is 23824701.

It is a junction number, because it is equal to n+sod(n) for n = 10742796 and 10742805.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8173 + ... + 9395.

Almost surely, 2^10742832 is an apocalyptic number.

10742832 is a gapful number since it is divisible by the number (12) 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 10742832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15291432).

10742832 is an abundant number, since it is smaller than the sum of its proper divisors (19840032).

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

10742832 is a wasteful number, since it uses less digits than its factorization.

10742832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 10742832 is about 3277.6259701192. The cubic root of 10742832 is about 220.6511835911.

The spelling of 10742832 in words is "ten million, seven hundred forty-two thousand, eight hundred thirty-two".