981561504 has 384 divisors, whose sum is σ = 3480164352. Its totient is φ = 234455040.

The previous prime is 981561479. The next prime is 981561517. The reversal of 981561504 is 405165189.

It is a super-2 number, since 2×981561504² = 1926925972269484032, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9173419 + ... + 9173525.

It is an arithmetic number, because the mean of its divisors is an integer number (9062928).

Almost surely, 2^981561504 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 981561504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740082176).

981561504 is an abundant number, since it is smaller than the sum of its proper divisors (2498602848).

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

981561504 is a wasteful number, since it uses less digits than its factorization.

981561504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 981561504 is about 31329.8819659443. The cubic root of 981561504 is about 993.8156675406.

The spelling of 981561504 in words is "nine hundred eighty-one million, five hundred sixty-one thousand, five hundred four".