982090416 has 80 divisors (see below), whose sum is σ = 2679987200. Its totient is φ = 309415680.

The previous prime is 982090399. The next prime is 982090441. The reversal of 982090416 is 614090289.

It is a super-3 number, since 3×982090416³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56310 + ... + 71658.

It is an arithmetic number, because the mean of its divisors is an integer number (33499840).

Almost surely, 2^982090416 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 982090416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339993600).

982090416 is an abundant number, since it is smaller than the sum of its proper divisors (1697896784).

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

982090416 is a wasteful number, since it uses less digits than its factorization.

982090416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15434 (or 15428 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 982090416 is about 31338.3218440299. The cubic root of 982090416 is about 993.9941405298.

The spelling of 982090416 in words is "nine hundred eighty-two million, ninety thousand, four hundred sixteen".