10434872 has 64 divisors (see below), whose sum is σ = 24131520. Its totient is φ = 4128768.

The previous prime is 10434863. The next prime is 10434877. The reversal of 10434872 is 27843401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92288 + ... + 92400.

It is an arithmetic number, because the mean of its divisors is an integer number (377055).

Almost surely, 2^10434872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10434872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065760).

10434872 is an abundant number, since it is smaller than the sum of its proper divisors (13696648).

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

10434872 is a wasteful number, since it uses less digits than its factorization.

10434872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 10434872 is about 3230.3052487342. The cubic root of 10434872 is about 218.5222727236.

The spelling of 10434872 in words is "ten million, four hundred thirty-four thousand, eight hundred seventy-two".