612720 has 120 divisors (see below), whose sum is σ = 2205216. Its totient is φ = 152064.

The previous prime is 612719. The next prime is 612727. The reversal of 612720 is 27216.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 612693 and 612702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16542 + ... + 16578.

2⁶¹²⁷²⁰ is an apocalyptic number.

612720 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 612720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102608).

612720 is an abundant number, since it is smaller than the sum of its proper divisors (1592496).

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

612720 is a wasteful number, since it uses less digits than its factorization.

612720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 612720 is about 782.7643323504. The cubic root of 612720 is about 84.9351292816.

Adding to 612720 its reverse (27216), we get a palindrome (639936).

The spelling of 612720 in words is "six hundred twelve thousand, seven hundred twenty".