10736496 has 80 divisors (see below), whose sum is σ = 31917600. Its totient is φ = 3451392.

The previous prime is 10736489. The next prime is 10736519. The reversal of 10736496 is 69463701.

10736496 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 649 + 6 = 666.

10736496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10736496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12100 + ... + 12956.

It is an arithmetic number, because the mean of its divisors is an integer number (398970).

Almost surely, 2^10736496 is an apocalyptic number.

10736496 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 10736496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15958800).

10736496 is an abundant number, since it is smaller than the sum of its proper divisors (21181104).

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

10736496 is a wasteful number, since it uses less digits than its factorization.

10736496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 10736496 is about 3276.6592743219. The cubic root of 10736496 is about 220.6077958748.

It can be divided in two parts, 1073 and 6496, that added together give a square (7569 = 87²).

The spelling of 10736496 in words is "ten million, seven hundred thirty-six thousand, four hundred ninety-six".