855163680 has 288 divisors, whose sum is σ = 3172950144. Its totient is φ = 193019904.

The previous prime is 855163657. The next prime is 855163711. The reversal of 855163680 is 86361558.

It is a super-2 number, since 2×855163680² = 1462609839182284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2422384 + ... + 2422736.

It is an arithmetic number, because the mean of its divisors is an integer number (11017188).

Almost surely, 2^855163680 is an apocalyptic number.

855163680 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 855163680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586475072).

855163680 is an abundant number, since it is smaller than the sum of its proper divisors (2317786464).

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

855163680 is a wasteful number, since it uses less digits than its factorization.

855163680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 855163680 is about 29243.1817694313. The cubic root of 855163680 is about 949.1825581327.

The spelling of 855163680 in words is "eight hundred fifty-five million, one hundred sixty-three thousand, six hundred eighty".