612960 has 48 divisors (see below), whose sum is σ = 1932336. Its totient is φ = 163328.

The previous prime is 612947. The next prime is 612967. The reversal of 612960 is 69216.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 612960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612967) by changing a digit.

612960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159 + ... + 1118.

It is an arithmetic number, because the mean of its divisors is an integer number (40257).

2⁶¹²⁹⁶⁰ is an apocalyptic number.

612960 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 612960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966168).

612960 is an abundant number, since it is smaller than the sum of its proper divisors (1319376).

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

612960 is a wasteful number, since it uses less digits than its factorization.

612960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 612960 is about 782.9176201875. The cubic root of 612960 is about 84.9462174187.

The spelling of 612960 in words is "six hundred twelve thousand, nine hundred sixty".