120071680 has 160 divisors (see below), whose sum is σ = 318193920. Its totient is φ = 43253760.

The previous prime is 120071617. The next prime is 120071683. The reversal of 120071680 is 86170021.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120071683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1349076 + ... + 1349164.

It is an arithmetic number, because the mean of its divisors is an integer number (1988712).

Almost surely, 2^120071680 is an apocalyptic number.

120071680 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 120071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159096960).

120071680 is an abundant number, since it is smaller than the sum of its proper divisors (198122240).

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

120071680 is an equidigital number, since it uses as much as digits as its factorization.

120071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 120071680 is about 10957.7223910811. The cubic root of 120071680 is about 493.3406053631.

The spelling of 120071680 in words is "one hundred twenty million, seventy-one thousand, six hundred eighty".