823824072 has 48 divisors (see below), whose sum is σ = 2238425280. Its totient is φ = 273717600.

The previous prime is 823824049. The next prime is 823824073. The reversal of 823824072 is 270428328.

It is a super-2 number, since 2×823824072² = 1357372203213322368, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (823824073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3997 + ... + 40787.

It is an arithmetic number, because the mean of its divisors is an integer number (46633860).

Almost surely, 2^823824072 is an apocalyptic number.

It is an amenable number.

823824072 is an abundant number, since it is smaller than the sum of its proper divisors (1414601208).

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

823824072 is a wasteful number, since it uses less digits than its factorization.

823824072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37114 (or 37107 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 823824072 is about 28702.3356540892. The cubic root of 823824072 is about 937.4429038294.

The spelling of 823824072 in words is "eight hundred twenty-three million, eight hundred twenty-four thousand, seventy-two".