984590964 has 120 divisors (see below), whose sum is σ = 2997485568. Its totient is φ = 275970240.

The previous prime is 984590953. The next prime is 984590993. The reversal of 984590964 is 469095489.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 984590964.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 116109 + ... + 124299.

Almost surely, 2^984590964 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 984590964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498742784).

984590964 is an abundant number, since it is smaller than the sum of its proper divisors (2012894604).

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

984590964 is a wasteful number, since it uses less digits than its factorization.

984590964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8267 (or 8256 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 984590964 is about 31378.1924909642. The cubic root of 984590964 is about 994.8370444312.

The spelling of 984590964 in words is "nine hundred eighty-four million, five hundred ninety thousand, nine hundred sixty-four".