10736520 has 128 divisors (see below), whose sum is σ = 36028800. Its totient is φ = 2543616.

The previous prime is 10736519. The next prime is 10736521. The reversal of 10736520 is 2563701.

10736520 = T₂₆₇ + T₂₆₈ + ... + T₄₃₆.

It is an interprime number because it is at equal distance from previous prime (10736519) and next prime (10736521).

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 (10736521) 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 31 ways as a sum of consecutive naturals, for example, 38622 + ... + 38898.

It is an arithmetic number, because the mean of its divisors is an integer number (281475).

Almost surely, 2^10736520 is an apocalyptic number.

10736520 is a gapful number since it is divisible by the number (10) 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 10736520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18014400).

10736520 is an abundant number, since it is smaller than the sum of its proper divisors (25292280).

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

10736520 is a wasteful number, since it uses less digits than its factorization.

10736520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 323 counting only the distinct ones).

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

The square root of 10736520 is about 3276.6629365866. The cubic root of 10736520 is about 220.6079602544.

The spelling of 10736520 in words is "ten million, seven hundred thirty-six thousand, five hundred twenty".