618960 has 40 divisors (see below), whose sum is σ = 1919520. Its totient is φ = 164992.

The previous prime is 618941. The next prime is 618971. The reversal of 618960 is 69816.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×618960² = 766222963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

618960 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, 1050 + ... + 1529.

It is an arithmetic number, because the mean of its divisors is an integer number (47988).

2⁶¹⁸⁹⁶⁰ is an apocalyptic number.

618960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

618960 is an abundant number, since it is smaller than the sum of its proper divisors (1300560).

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

618960 is a wasteful number, since it uses less digits than its factorization.

618960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 618960 is about 786.7401095660. The cubic root of 618960 is about 85.2224851937. Note that the first 3 decimals are identical.

The spelling of 618960 in words is "six hundred eighteen thousand, nine hundred sixty".