851410656 has 96 divisors (see below), whose sum is σ = 2530271520. Its totient is φ = 278433792.

The previous prime is 851410649. The next prime is 851410717. The reversal of 851410656 is 656014158.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 851410656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36496 + ... + 55088.

It is an arithmetic number, because the mean of its divisors is an integer number (26356995).

Almost surely, 2^851410656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 851410656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265135760).

851410656 is an abundant number, since it is smaller than the sum of its proper divisors (1678860864).

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

851410656 is a wasteful number, since it uses less digits than its factorization.

851410656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18665 (or 18651 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 851410656 is about 29178.9419958983. The cubic root of 851410656 is about 947.7919748647.

The spelling of 851410656 in words is "eight hundred fifty-one million, four hundred ten thousand, six hundred fifty-six".