982492560 has 240 divisors, whose sum is σ = 3993065856. Its totient is φ = 211341312.

The previous prime is 982492531. The next prime is 982492571. The reversal of 982492560 is 65294289.

982492560 is a `hidden beast` number, since 9 + 82 + 4 + 9 + 2 + 560 = 666.

982492560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 79947 + ... + 91413.

Almost surely, 2^982492560 is an apocalyptic number.

982492560 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 982492560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996532928).

982492560 is an abundant number, since it is smaller than the sum of its proper divisors (3010573296).

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

982492560 is a wasteful number, since it uses less digits than its factorization.

982492560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11510 (or 11501 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 982492560 is about 31344.7373573300. The cubic root of 982492560 is about 994.1297947851.

The spelling of 982492560 in words is "nine hundred eighty-two million, four hundred ninety-two thousand, five hundred sixty".