120876624 has 200 divisors, whose sum is σ = 390704160. Its totient is φ = 35769600.

The previous prime is 120876619. The next prime is 120876629. The reversal of 120876624 is 426678021.

120876624 is a `hidden beast` number, since 1 + 20 + 8 + 7 + 6 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (120876619) and next prime (120876629).

It is a super-2 number, since 2×120876624² = 29222316459274752, 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 not an unprimeable number, because it can be changed into a prime (120876629) 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 39 ways as a sum of consecutive naturals, for example, 869547 + ... + 869685.

Almost surely, 2^120876624 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 120876624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195352080).

120876624 is an abundant number, since it is smaller than the sum of its proper divisors (269827536).

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

120876624 is a wasteful number, since it uses less digits than its factorization.

120876624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 120876624 is about 10994.3905697406. The cubic root of 120876624 is about 494.4405801360.

The spelling of 120876624 in words is "one hundred twenty million, eight hundred seventy-six thousand, six hundred twenty-four".