980616 has 64 divisors (see below), whose sum is σ = 3024000. Its totient is φ = 258048.

The previous prime is 980599. The next prime is 980621. The reversal of 980616 is 616089.

980616 = T₁₄₄ + T₁₄₅ + ... + T₂₀₆.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 980616.

It is an unprimeable number.

980616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1960 + ... + 2408.

It is an arithmetic number, because the mean of its divisors is an integer number (47250).

2⁹⁸⁰⁶¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 980616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512000).

980616 is an abundant number, since it is smaller than the sum of its proper divisors (2043384).

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

980616 is a wasteful number, since it uses less digits than its factorization.

980616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 474 counting only the distinct ones).

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

The square root of 980616 is about 990.2605717689. The cubic root of 980616 is about 99.3496462356.

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

The spelling of 980616 in words is "nine hundred eighty thousand, six hundred sixteen".