985253760 has 512 divisors, whose sum is σ = 3795379200. Its totient is φ = 240869376.

The previous prime is 985253747. The next prime is 985253767. The reversal of 985253760 is 67352589.

It is a happy number.

985253760 is a `hidden beast` number, since 9 + 8 + 52 + 537 + 60 = 666.

985253760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985253767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14705247 + ... + 14705313.

It is an arithmetic number, because the mean of its divisors is an integer number (7412850).

Almost surely, 2^985253760 is an apocalyptic number.

985253760 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 985253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897689600).

985253760 is an abundant number, since it is smaller than the sum of its proper divisors (2810125440).

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

985253760 is a wasteful number, since it uses less digits than its factorization.

985253760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 985253760 is about 31388.7521255624. The cubic root of 985253760 is about 995.0602254734.

The spelling of 985253760 in words is "nine hundred eighty-five million, two hundred fifty-three thousand, seven hundred sixty".