824968 has 16 divisors (see below), whose sum is σ = 1563660. Its totient is φ = 408000.

The previous prime is 824951. The next prime is 824977. The reversal of 824968 is 869428.

It can be written as a sum of positive squares in 2 ways, for example, as 736164 + 88804 = 858^2 + 298^2 .

It is a plaindrome in base 15.

It is an unprimeable number.

824968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 298 + ... + 1318.

2⁸²⁴⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

824968 is a deficient number, since it is larger than the sum of its proper divisors (738692).

824968 is a wasteful number, since it uses less digits than its factorization.

824968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1124 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 824968 is about 908.2774906382. The cubic root of 824968 is about 93.7876601289.

It can be divided in two parts, 82 and 4968, that added together give a triangular number (5050 = T₁₀₀).

The spelling of 824968 in words is "eight hundred twenty-four thousand, nine hundred sixty-eight".