616980 has 96 divisors (see below), whose sum is σ = 2145024. Its totient is φ = 129024.

The previous prime is 616961. The next prime is 616991. The reversal of 616980 is 89616.

616980 = T₁₀₄ + T₁₀₅ + ... + T₁₆₈.

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.

616980 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 31 ways as a sum of consecutive naturals, for example, 5404 + ... + 5516.

It is an arithmetic number, because the mean of its divisors is an integer number (22344).

2⁶¹⁶⁹⁸⁰ is an apocalyptic number.

616980 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 616980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072512).

616980 is an abundant number, since it is smaller than the sum of its proper divisors (1528044).

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

616980 is a wasteful number, since it uses less digits than its factorization.

616980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 143 counting only the distinct ones).

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

The square root of 616980 is about 785.4807445126. The cubic root of 616980 is about 85.1315149802.

It can be divided in two parts, 616 and 980, that added together give a triangular number (1596 = T₅₆).

The spelling of 616980 in words is "six hundred sixteen thousand, nine hundred eighty".