120167408 has 20 divisors (see below), whose sum is σ = 240335808. Its totient is φ = 58145280.

The previous prime is 120167401. The next prime is 120167431. The reversal of 120167408 is 804761021.

120167408 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120167401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 120641 + ... + 121632.

Almost surely, 2^120167408 is an apocalyptic number.

It is an amenable number.

120167408 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

120167408 is a wasteful number, since it uses less digits than its factorization.

120167408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242312 (or 242306 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 120167408 is about 10962.0895818270. The cubic root of 120167408 is about 493.4716769710.

The spelling of 120167408 in words is "one hundred twenty million, one hundred sixty-seven thousand, four hundred eight".