985076550 has 144 divisors (see below), whose sum is σ = 2729477088. Its totient is φ = 254592000.

The previous prime is 985076539. The next prime is 985076569. The reversal of 985076550 is 55670589.

985076550 is a `hidden beast` number, since 98 + 5 + 0 + 7 + 6 + 550 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 985076496 and 985076505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2456350 + ... + 2456750.

It is an arithmetic number, because the mean of its divisors is an integer number (18954702).

Almost surely, 2^985076550 is an apocalyptic number.

985076550 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 985076550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364738544).

985076550 is an abundant number, since it is smaller than the sum of its proper divisors (1744400538).

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

985076550 is a wasteful number, since it uses less digits than its factorization.

985076550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 985076550 is about 31385.9291721625. The cubic root of 985076550 is about 995.0005639585. Note that the first 3 decimals are identical.

The spelling of 985076550 in words is "nine hundred eighty-five million, seventy-six thousand, five hundred fifty".