120267648 has 48 divisors (see below), whose sum is σ = 346086000. Its totient is φ = 40088832.

The previous prime is 120267643. The next prime is 120267683. The reversal of 120267648 is 846762021.

120267648 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 6 + 7 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 (120267643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51048 + ... + 53351.

It is an arithmetic number, because the mean of its divisors is an integer number (7210125).

Almost surely, 2^120267648 is an apocalyptic number.

120267648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

120267648 is an abundant number, since it is smaller than the sum of its proper divisors (225818352).

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

120267648 is a wasteful number, since it uses less digits than its factorization.

120267648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104419 (or 104404 counting only the distinct ones).

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

The square root of 120267648 is about 10966.6607497451. The cubic root of 120267648 is about 493.6088518613.

The spelling of 120267648 in words is "one hundred twenty million, two hundred sixty-seven thousand, six hundred forty-eight".