851538688 has 144 divisors (see below), whose sum is σ = 2282870016. Its totient is φ = 306155520.

The previous prime is 851538671. The next prime is 851538731. The reversal of 851538688 is 886835158.

It is a super-2 number, since 2×851538688² = 1450236274321522688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254595 + ... + 257917.

It is an arithmetic number, because the mean of its divisors is an integer number (15853264).

Almost surely, 2^851538688 is an apocalyptic number.

851538688 is a gapful number since it is divisible by the number (88) 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 851538688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141435008).

851538688 is an abundant number, since it is smaller than the sum of its proper divisors (1431331328).

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

851538688 is a wasteful number, since it uses less digits than its factorization.

851538688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3356 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 52.

The square root of 851538688 is about 29181.1358243643. The cubic root of 851538688 is about 947.8394809728.

The spelling of 851538688 in words is "eight hundred fifty-one million, five hundred thirty-eight thousand, six hundred eighty-eight".