10007436 has 48 divisors (see below), whose sum is σ = 24444000. Its totient is φ = 3182592.

The previous prime is 10007429. The next prime is 10007443. The reversal of 10007436 is 63470001.

It is an interprime number because it is at equal distance from previous prime (10007429) and next prime (10007443).

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 15 ways as a sum of consecutive naturals, for example, 51756 + ... + 51948.

It is an arithmetic number, because the mean of its divisors is an integer number (509250).

Almost surely, 2^10007436 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 10007436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12222000).

10007436 is an abundant number, since it is smaller than the sum of its proper divisors (14436564).

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

10007436 is a wasteful number, since it uses less digits than its factorization.

10007436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 10007436 is about 3163.4531765146. The cubic root of 10007436 is about 215.4968570268.

Adding to 10007436 its reverse (63470001), we get a palindrome (73477437).

The spelling of 10007436 in words is "ten million, seven thousand, four hundred thirty-six".