981419616 has 216 divisors, whose sum is σ = 3038719320. Its totient is φ = 299593728.

The previous prime is 981419563. The next prime is 981419617. The reversal of 981419616 is 616914189.

981419616 is a `hidden beast` number, since 9 + 8 + 14 + 19 + 616 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981419617) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10117680 + ... + 10117776.

It is an arithmetic number, because the mean of its divisors is an integer number (14068145).

Almost surely, 2^981419616 is an apocalyptic number.

981419616 is a gapful number since it is divisible by the number (96) 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 981419616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519359660).

981419616 is an abundant number, since it is smaller than the sum of its proper divisors (2057299704).

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

981419616 is a wasteful number, since it uses less digits than its factorization.

981419616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 164 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 981419616 is about 31327.6174644674. The cubic root of 981419616 is about 993.7677787729.

The spelling of 981419616 in words is "nine hundred eighty-one million, four hundred nineteen thousand, six hundred sixteen".