616680 has 64 divisors (see below), whose sum is σ = 2059200. Its totient is φ = 164160.

The previous prime is 616673. The next prime is 616703. The reversal of 616680 is 86616.

616680 = T₈₂ + T₈₃ + ... + T₁₆₁.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an unprimeable number.

616680 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 15 ways as a sum of consecutive naturals, for example, 795 + ... + 1365.

It is an arithmetic number, because the mean of its divisors is an integer number (32175).

2⁶¹⁶⁶⁸⁰ is an apocalyptic number.

616680 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 616680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029600).

616680 is an abundant number, since it is smaller than the sum of its proper divisors (1442520).

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

616680 is a wasteful number, since it uses less digits than its factorization.

616680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 616680 is about 785.2897554406. The cubic root of 616680 is about 85.1177146436.

It can be divided in two parts, 616 and 680, that added together give a 4-th power (1296 = 6⁴).

The spelling of 616680 in words is "six hundred sixteen thousand, six hundred eighty".