120876640 has 96 divisors (see below), whose sum is σ = 299376000. Its totient is φ = 46061568.

The previous prime is 120876631. The next prime is 120876649. The reversal of 120876640 is 46678021.

It is an interprime number because it is at equal distance from previous prime (120876631) and next prime (120876649).

It is a super-2 number, since 2×120876640² = 29222324195379200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120876596 and 120876605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120876649) 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 15 ways as a sum of consecutive naturals, for example, 505641 + ... + 505879.

It is an arithmetic number, because the mean of its divisors is an integer number (3118500).

Almost surely, 2^120876640 is an apocalyptic number.

120876640 is a gapful number since it is divisible by the number (10) 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 120876640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149688000).

120876640 is an abundant number, since it is smaller than the sum of its proper divisors (178499360).

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

120876640 is a wasteful number, since it uses less digits than its factorization.

120876640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 120876640 is about 10994.3912973843. The cubic root of 120876640 is about 494.4406019517.

The spelling of 120876640 in words is "one hundred twenty million, eight hundred seventy-six thousand, six hundred forty".