120006684 has 90 divisors (see below), whose sum is σ = 364989240. Its totient is φ = 34283088.

The previous prime is 120006643. The next prime is 120006697. The reversal of 120006684 is 486600021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 12097 + ... + 19655.

It is an arithmetic number, because the mean of its divisors is an integer number (4055436).

Almost surely, 2^120006684 is an apocalyptic number.

120006684 is a gapful number since it is divisible by the number (14) 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 120006684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182494620).

120006684 is an abundant number, since it is smaller than the sum of its proper divisors (244982556).

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

120006684 is a wasteful number, since it uses less digits than its factorization.

120006684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7589 (or 7571 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 120006684 is about 10954.7562273197. The cubic root of 120006684 is about 493.2515725636.

The spelling of 120006684 in words is "one hundred twenty million, six thousand, six hundred eighty-four".