985242960 has 240 divisors, whose sum is σ = 3676104000. Its totient is φ = 242431488.

The previous prime is 985242953. The next prime is 985242971. The reversal of 985242960 is 69242589.

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 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, 363691 + ... + 366389.

It is an arithmetic number, because the mean of its divisors is an integer number (15317100).

Almost surely, 2^985242960 is an apocalyptic number.

985242960 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 985242960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838052000).

985242960 is an abundant number, since it is smaller than the sum of its proper divisors (2690861040).

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

985242960 is a wasteful number, since it uses less digits than its factorization.

985242960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747 (or 2722 counting only the distinct ones).

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

The square root of 985242960 is about 31388.5800889432. The cubic root of 985242960 is about 995.0565896284.

The spelling of 985242960 in words is "nine hundred eighty-five million, two hundred forty-two thousand, nine hundred sixty".