120691648 has 112 divisors (see below), whose sum is σ = 314553600. Its totient is φ = 44513280.

The previous prime is 120691643. The next prime is 120691651. The reversal of 120691648 is 846196021.

120691648 = T₂ + T₃ + ... + T₈₉₇.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120691643) 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, 92988 + ... + 94276.

Almost surely, 2^120691648 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 120691648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157276800).

120691648 is an abundant number, since it is smaller than the sum of its proper divisors (193861952).

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

120691648 is a wasteful number, since it uses less digits than its factorization.

120691648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 120691648 is about 10985.9750591379. The cubic root of 120691648 is about 494.1882392763.

The spelling of 120691648 in words is "one hundred twenty million, six hundred ninety-one thousand, six hundred forty-eight".