601989120 has 336 divisors, whose sum is σ = 2208166272. Its totient is φ = 151388160.

The previous prime is 601989107. The next prime is 601989139. The reversal of 601989120 is 21989106.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8478685 + ... + 8478755.

Almost surely, 2^601989120 is an apocalyptic number.

601989120 is a gapful number since it is divisible by the number (60) 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 601989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104083136).

601989120 is an abundant number, since it is smaller than the sum of its proper divisors (1606177152).

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

601989120 is a wasteful number, since it uses less digits than its factorization.

601989120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 601989120 is about 24535.4665739211. The cubic root of 601989120 is about 844.3636865419.

The spelling of 601989120 in words is "six hundred one million, nine hundred eighty-nine thousand, one hundred twenty".