824988672 has 176 divisors, whose sum is σ = 2493737280. Its totient is φ = 269328384.

The previous prime is 824988649. The next prime is 824988677. The reversal of 824988672 is 276889428.

824988672 is a `hidden beast` number, since 8 + 2 + 498 + 86 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (824988677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1465063 + ... + 1465625.

Almost surely, 2^824988672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 824988672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246868640).

824988672 is an abundant number, since it is smaller than the sum of its proper divisors (1668748608).

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

824988672 is a wasteful number, since it uses less digits than its factorization.

824988672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 621 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 824988672 is about 28722.6160368446. The cubic root of 824988672 is about 937.8844349755.

The spelling of 824988672 in words is "eight hundred twenty-four million, nine hundred eighty-eight thousand, six hundred seventy-two".