981358560 has 288 divisors, whose sum is σ = 4122256320. Its totient is φ = 207028224.

The previous prime is 981358529. The next prime is 981358571. The reversal of 981358560 is 65853189.

981358560 is a `hidden beast` number, since 9 + 8 + 1 + 3 + 585 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127296 + ... + 134784.

It is an arithmetic number, because the mean of its divisors is an integer number (14313390).

Almost surely, 2^981358560 is an apocalyptic number.

981358560 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 981358560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061128160).

981358560 is an abundant number, since it is smaller than the sum of its proper divisors (3140897760).

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

981358560 is a wasteful number, since it uses less digits than its factorization.

981358560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7530 (or 7519 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 981358560 is about 31326.6429736734. The cubic root of 981358560 is about 993.7471702779.

The spelling of 981358560 in words is "nine hundred eighty-one million, three hundred fifty-eight thousand, five hundred sixty".