10025736 has 64 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 2826048.

The previous prime is 10025731. The next prime is 10025737. The reversal of 10025736 is 63752001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10025731) 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 15 ways as a sum of consecutive naturals, for example, 13585 + ... + 14303.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 2^10025736 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 10025736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

10025736 is an abundant number, since it is smaller than the sum of its proper divisors (19004664).

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

10025736 is a wasteful number, since it uses less digits than its factorization.

10025736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 10025736 is about 3166.3442642897. The cubic root of 10025736 is about 215.6281324477.

Adding to 10025736 its reverse (63752001), we get a palindrome (73777737).

The spelling of 10025736 in words is "ten million, twenty-five thousand, seven hundred thirty-six".