824813120 has 56 divisors (see below), whose sum is σ = 2049499584. Its totient is φ = 315577856.

The previous prime is 824813117. The next prime is 824813131. The reversal of 824813120 is 21318428.

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

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 7 ways as a sum of consecutive naturals, for example, 48674 + ... + 63393.

Almost surely, 2^824813120 is an apocalyptic number.

824813120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

824813120 is an abundant number, since it is smaller than the sum of its proper divisors (1224686464).

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

824813120 is a wasteful number, since it uses less digits than its factorization.

824813120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112107 (or 112097 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 824813120 is about 28719.5598852072. The cubic root of 824813120 is about 937.8179051051.

The spelling of 824813120 in words is "eight hundred twenty-four million, eight hundred thirteen thousand, one hundred twenty".