120824496 has 240 divisors, whose sum is σ = 397196800. Its totient is φ = 33965568.

The previous prime is 120824449. The next prime is 120824519. The reversal of 120824496 is 694428021.

120824496 is a `hidden beast` number, since 1 + 208 + 2 + 449 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 120824496.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1529385 + ... + 1529463.

Almost surely, 2^120824496 is an apocalyptic number.

120824496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120824496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198598400).

120824496 is an abundant number, since it is smaller than the sum of its proper divisors (276372304).

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

120824496 is a wasteful number, since it uses less digits than its factorization.

120824496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 120824496 is about 10992.0196506375. The cubic root of 120824496 is about 494.3694941431.

The spelling of 120824496 in words is "one hundred twenty million, eight hundred twenty-four thousand, four hundred ninety-six".