848916090 has 192 divisors, whose sum is σ = 2515968000. Its totient is φ = 196732800.

The previous prime is 848916073. The next prime is 848916091. The reversal of 848916090 is 90619848.

848916090 is a `hidden beast` number, since 8 + 489 + 160 + 9 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (848916091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4265811 + ... + 4266009.

It is an arithmetic number, because the mean of its divisors is an integer number (13104000).

Almost surely, 2^848916090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 848916090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257984000).

848916090 is an abundant number, since it is smaller than the sum of its proper divisors (1667051910).

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

848916090 is a wasteful number, since it uses less digits than its factorization.

848916090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 848916090 is about 29136.1646412152. The cubic root of 848916090 is about 946.8654174765.

The spelling of 848916090 in words is "eight hundred forty-eight million, nine hundred sixteen thousand, ninety".