823074048 has 216 divisors, whose sum is σ = 2504357856. Its totient is φ = 269568000.

The previous prime is 823074001. The next prime is 823074071. The reversal of 823074048 is 840470328.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×823074048² = 1354901776982212608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6282943 + ... + 6283073.

Almost surely, 2^823074048 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 823074048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252178928).

823074048 is an abundant number, since it is smaller than the sum of its proper divisors (1681283808).

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

823074048 is a wasteful number, since it uses less digits than its factorization.

823074048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 237 counting only the distinct ones).

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

The square root of 823074048 is about 28689.2671220441. The cubic root of 823074048 is about 937.1583292536.

The spelling of 823074048 in words is "eight hundred twenty-three million, seventy-four thousand, forty-eight".