981484560 has 320 divisors, whose sum is σ = 3899750400. Its totient is φ = 222248448.

The previous prime is 981484519. The next prime is 981484573. The reversal of 981484560 is 65484189.

981484560 is a `hidden beast` number, since 9 + 8 + 1 + 4 + 84 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2101447 + ... + 2101913.

It is an arithmetic number, because the mean of its divisors is an integer number (12186720).

Almost surely, 2^981484560 is an apocalyptic number.

981484560 is a gapful number since it is divisible by the number (90) 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 981484560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949875200).

981484560 is an abundant number, since it is smaller than the sum of its proper divisors (2918265840).

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

981484560 is a wasteful number, since it uses less digits than its factorization.

981484560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 981484560 is about 31328.6539768309. The cubic root of 981484560 is about 993.7896986633.

The spelling of 981484560 in words is "nine hundred eighty-one million, four hundred eighty-four thousand, five hundred sixty".