10504736 has 36 divisors (see below), whose sum is σ = 22740606. Its totient is φ = 4773120.

The previous prime is 10504723. The next prime is 10504751. The reversal of 10504736 is 63740501.

It can be written as a sum of positive squares in only one way, i.e., 5856400 + 4648336 = 2420^2 + 2156^2 .

It is a super-2 number, since 2×10504736² = 220698956859392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2516 + ... + 5228.

Almost surely, 2^10504736 is an apocalyptic number.

10504736 is a gapful number since it is divisible by the number (16) 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 10504736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11370303).

10504736 is an abundant number, since it is smaller than the sum of its proper divisors (12235870).

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

10504736 is a wasteful number, since it uses less digits than its factorization.

10504736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 10504736 is about 3241.1010474837. The cubic root of 10504736 is about 219.0088749071.

The spelling of 10504736 in words is "ten million, five hundred four thousand, seven hundred thirty-six".