601920 has 168 divisors, whose sum is σ = 2377440. Its totient is φ = 138240.

The previous prime is 601903. The next prime is 601943. The reversal of 601920 is 29106.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 601893 and 601902.

It is a congruent number.

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, 31671 + ... + 31689.

2⁶⁰¹⁹²⁰ is an apocalyptic number.

601920 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 601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188720).

601920 is an abundant number, since it is smaller than the sum of its proper divisors (1775520).

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

601920 is a wasteful number, since it uses less digits than its factorization.

601920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 601920 is about 775.8350340117. The cubic root of 601920 is about 84.4331368875.

It can be divided in two parts, 601 and 920, that added together give a square (1521 = 39²).

The spelling of 601920 in words is "six hundred one thousand, nine hundred twenty".