851014560 has 384 divisors, whose sum is σ = 3265920000. Its totient is φ = 183582720.

The previous prime is 851014553. The next prime is 851014583. The reversal of 851014560 is 65410158.

851014560 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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1705191 + ... + 1705689.

It is an arithmetic number, because the mean of its divisors is an integer number (8505000).

Almost surely, 2^851014560 is an apocalyptic number.

851014560 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 851014560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632960000).

851014560 is an abundant number, since it is smaller than the sum of its proper divisors (2414905440).

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

851014560 is a wasteful number, since it uses less digits than its factorization.

851014560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 851014560 is about 29172.1538457482. The cubic root of 851014560 is about 947.6449737907.

The spelling of 851014560 in words is "eight hundred fifty-one million, fourteen thousand, five hundred sixty".