120391680 has 96 divisors (see below), whose sum is σ = 385257600. Its totient is φ = 32096256.

The previous prime is 120391643. The next prime is 120391721. The reversal of 120391680 is 86193021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×120391680² = 28988313226444800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28761 + ... + 32679.

It is an arithmetic number, because the mean of its divisors is an integer number (4013100).

Almost surely, 2^120391680 is an apocalyptic number.

120391680 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 120391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192628800).

120391680 is an abundant number, since it is smaller than the sum of its proper divisors (264865920).

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

120391680 is an equidigital number, since it uses as much as digits as its factorization.

120391680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 120391680 is about 10972.3142499657. The cubic root of 120391680 is about 493.7784797972.

The spelling of 120391680 in words is "one hundred twenty million, three hundred ninety-one thousand, six hundred eighty".