854071920 has 180 divisors, whose sum is σ = 3106307880. Its totient is φ = 210203136.

The previous prime is 854071913. The next prime is 854071951. The reversal of 854071920 is 29170458.

It is a tau number, because it is divible by the number of its divisors (180).

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

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 35 ways as a sum of consecutive naturals, for example, 118171 + ... + 125189.

It is an arithmetic number, because the mean of its divisors is an integer number (17257266).

Almost surely, 2^854071920 is an apocalyptic number.

854071920 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 854071920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553153940).

854071920 is an abundant number, since it is smaller than the sum of its proper divisors (2252235960).

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

854071920 is a wasteful number, since it uses less digits than its factorization.

854071920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7064 (or 7042 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 854071920 is about 29224.5088923664. The cubic root of 854071920 is about 948.7784558219.

The spelling of 854071920 in words is "eight hundred fifty-four million, seventy-one thousand, nine hundred twenty".