120589600 has 72 divisors (see below), whose sum is σ = 295949808. Its totient is φ = 47980800.

The previous prime is 120589591. The next prime is 120589607. The reversal of 120589600 is 6985021.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (120589607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245355 + ... + 245845.

It is an arithmetic number, because the mean of its divisors is an integer number (4110414).

Almost surely, 2^120589600 is an apocalyptic number.

120589600 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 120589600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147974904).

120589600 is an abundant number, since it is smaller than the sum of its proper divisors (175360208).

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

120589600 is a wasteful number, since it uses less digits than its factorization.

120589600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 120589600 is about 10981.3296098423. The cubic root of 120589600 is about 494.0489168998.

The spelling of 120589600 in words is "one hundred twenty million, five hundred eighty-nine thousand, six hundred".