851088000 has 512 divisors, whose sum is σ = 3436992000. Its totient is φ = 181862400.

The previous prime is 851087999. The next prime is 851088001. The reversal of 851088000 is 880158.

It is an interprime number because it is at equal distance from previous prime (851087999) and next prime (851088001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (851088001) 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, 5711926 + ... + 5712074.

It is an arithmetic number, because the mean of its divisors is an integer number (6712875).

Almost surely, 2^851088000 is an apocalyptic number.

851088000 is a gapful number since it is divisible by the number (80) 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 851088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718496000).

851088000 is an abundant number, since it is smaller than the sum of its proper divisors (2585904000).

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

851088000 is a wasteful number, since it uses less digits than its factorization.

851088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 851088000 is about 29173.4125532136. The cubic root of 851088000 is about 947.6722326447.

The spelling of 851088000 in words is "eight hundred fifty-one million, eighty-eight thousand".