526736 has 20 divisors (see below), whose sum is σ = 1166592. Its totient is φ = 225696.

The previous prime is 526733. The next prime is 526739. The reversal of 526736 is 637625.

It is an interprime number because it is at equal distance from previous prime (526733) and next prime (526739).

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 526699 and 526708.

It is not an unprimeable number, because it can be changed into a prime (526733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2240 + ... + 2463.

2⁵²⁶⁷³⁶ is an apocalyptic number.

526736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

526736 is an abundant number, since it is smaller than the sum of its proper divisors (639856).

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

526736 is a wasteful number, since it uses less digits than its factorization.

526736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4718 (or 4712 counting only the distinct ones).

The product of its digits is 7560, while the sum is 29.

The square root of 526736 is about 725.7658024459. The cubic root of 526736 is about 80.7602523190.

Subtracting 526736 from its reverse (637625), we obtain a square (110889 = 333²).

The spelling of 526736 in words is "five hundred twenty-six thousand, seven hundred thirty-six".