855192000 has 224 divisors, whose sum is σ = 3042172224. Its totient is φ = 210432000.

The previous prime is 855191999. The next prime is 855192083. The reversal of 855192000 is 291558.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310630 + ... + 313370.

It is an arithmetic number, because the mean of its divisors is an integer number (13581126).

Almost surely, 2^855192000 is an apocalyptic number.

855192000 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 855192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521086112).

855192000 is an abundant number, since it is smaller than the sum of its proper divisors (2186980224).

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

855192000 is a wasteful number, since it uses less digits than its factorization.

855192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 855192000 is about 29243.6659808581. The cubic root of 855192000 is about 949.1930358747.

The spelling of 855192000 in words is "eight hundred fifty-five million, one hundred ninety-two thousand".