981633504 has 96 divisors (see below), whose sum is σ = 2658458880. Its totient is φ = 317004800.

The previous prime is 981633503. The next prime is 981633517. The reversal of 981633504 is 405336189.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981633503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400924 + ... + 403364.

It is an arithmetic number, because the mean of its divisors is an integer number (27692280).

Almost surely, 2^981633504 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 981633504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329229440).

981633504 is an abundant number, since it is smaller than the sum of its proper divisors (1676825376).

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

981633504 is a wasteful number, since it uses less digits than its factorization.

With its successor (981633505) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2576).

981633504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 981633504 is about 31331.0310076129. The cubic root of 981633504 is about 993.8399665711.

The spelling of 981633504 in words is "nine hundred eighty-one million, six hundred thirty-three thousand, five hundred four".