120067440 has 80 divisors (see below), whose sum is σ = 374130816. Its totient is φ = 31852800.

The previous prime is 120067411. The next prime is 120067471. The reversal of 120067440 is 44760021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 120067440.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 49455 + ... + 51825.

Almost surely, 2^120067440 is an apocalyptic number.

120067440 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 120067440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187065408).

120067440 is an abundant number, since it is smaller than the sum of its proper divisors (254063376).

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

120067440 is a wasteful number, since it uses less digits than its factorization.

120067440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 120067440 is about 10957.5289185108. The cubic root of 120067440 is about 493.3347983075.

The spelling of 120067440 in words is "one hundred twenty million, sixty-seven thousand, four hundred forty".