618720 has 48 divisors (see below), whose sum is σ = 1950480. Its totient is φ = 164864.

The previous prime is 618719. The next prime is 618799. The reversal of 618720 is 27816.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165 + ... + 1124.

It is an arithmetic number, because the mean of its divisors is an integer number (40635).

2⁶¹⁸⁷²⁰ is an apocalyptic number.

618720 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 618720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975240).

618720 is an abundant number, since it is smaller than the sum of its proper divisors (1331760).

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

618720 is a wasteful number, since it uses less digits than its factorization.

618720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 618720 is about 786.5875666447. The cubic root of 618720 is about 85.2114688434.

The spelling of 618720 in words is "six hundred eighteen thousand, seven hundred twenty".