855954720 has 288 divisors, whose sum is σ = 3066336000. Its totient is φ = 217147392.

The previous prime is 855954719. The next prime is 855954751. The reversal of 855954720 is 27459558.

855954720 is a `hidden beast` number, since 85 + 5 + 9 + 547 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 4301181 + ... + 4301379.

It is an arithmetic number, because the mean of its divisors is an integer number (10647000).

Almost surely, 2^855954720 is an apocalyptic number.

855954720 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 855954720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533168000).

855954720 is an abundant number, since it is smaller than the sum of its proper divisors (2210381280).

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

855954720 is a wasteful number, since it uses less digits than its factorization.

855954720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 855954720 is about 29256.7038471527. The cubic root of 855954720 is about 949.4751375900.

The spelling of 855954720 in words is "eight hundred fifty-five million, nine hundred fifty-four thousand, seven hundred twenty".