981616860 has 192 divisors, whose sum is σ = 3603210240. Its totient is φ = 217105920.

The previous prime is 981616841. The next prime is 981616861. The reversal of 981616860 is 68616189.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981616861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112992 + ... + 121368.

It is an arithmetic number, because the mean of its divisors is an integer number (18766720).

Almost surely, 2^981616860 is an apocalyptic number.

981616860 is a gapful number since it is divisible by the number (90) 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 981616860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801605120).

981616860 is an abundant number, since it is smaller than the sum of its proper divisors (2621593380).

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

981616860 is a wasteful number, since it uses less digits than its factorization.

981616860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8433 (or 8425 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 981616860 is about 31330.7653912253. The cubic root of 981616860 is about 993.8343495508.

The spelling of 981616860 in words is "nine hundred eighty-one million, six hundred sixteen thousand, eight hundred sixty".