10736424 has 48 divisors (see below), whose sum is σ = 29795220. Its totient is φ = 3490560.

The previous prime is 10736413. The next prime is 10736431. The reversal of 10736424 is 42463701.

10736424 is a `hidden beast` number, since 10 + 7 + 3 + 642 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7387524 + 3348900 = 2718^2 + 1830^2 .

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, 1134 + ... + 4770.

Almost surely, 2^10736424 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 10736424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14897610).

10736424 is an abundant number, since it is smaller than the sum of its proper divisors (19058796).

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

10736424 is a wasteful number, since it uses less digits than its factorization.

10736424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3690 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 10736424 is about 3276.6482875036. The cubic root of 10736424 is about 220.6073027345.

The spelling of 10736424 in words is "ten million, seven hundred thirty-six thousand, four hundred twenty-four".