120289680 has 240 divisors, whose sum is σ = 478183680. Its totient is φ = 26514432.

The previous prime is 120289657. The next prime is 120289681. The reversal of 120289680 is 86982021.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×120289680² = 28939214229004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (120289681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145749 + ... + 146571.

It is an arithmetic number, because the mean of its divisors is an integer number (1992432).

Almost surely, 2^120289680 is an apocalyptic number.

120289680 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 120289680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239091840).

120289680 is an abundant number, since it is smaller than the sum of its proper divisors (357894000).

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

120289680 is a wasteful number, since it uses less digits than its factorization.

120289680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 120289680 is about 10967.6652027676. The cubic root of 120289680 is about 493.6389916548.

The spelling of 120289680 in words is "one hundred twenty million, two hundred eighty-nine thousand, six hundred eighty".