851040960 has 448 divisors, whose sum is σ = 3493739520. Its totient is φ = 170311680.

The previous prime is 851040941. The next prime is 851040979. The reversal of 851040960 is 69040158.

851040960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (851040941) and next prime (851040979).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-4 number, since 4×851040960⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 2143482 + ... + 2143878.

Almost surely, 2^851040960 is an apocalyptic number.

851040960 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 851040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746869760).

851040960 is an abundant number, since it is smaller than the sum of its proper divisors (2642698560).

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

851040960 is a wasteful number, since it uses less digits than its factorization.

851040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 851040960 is about 29172.6063285405. The cubic root of 851040960 is about 947.6547729057.

The spelling of 851040960 in words is "eight hundred fifty-one million, forty thousand, nine hundred sixty".