855610128 has 100 divisors (see below), whose sum is σ = 2606794960. Its totient is φ = 270184896.

The previous prime is 855610121. The next prime is 855610139. The reversal of 855610128 is 821016558.

855610128 is a `hidden beast` number, since 85 + 561 + 0 + 12 + 8 = 666.

It is a super-2 number, since 2×855610128² = 1464137382272352768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 855610092 and 855610101.

It is not an unprimeable number, because it can be changed into a prime (855610121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7251 + ... + 41997.

Almost surely, 2^855610128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 855610128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303397480).

855610128 is an abundant number, since it is smaller than the sum of its proper divisors (1751184832).

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

855610128 is a wasteful number, since it uses less digits than its factorization.

855610128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34786 (or 34771 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 855610128 is about 29250.8141425158. The cubic root of 855610128 is about 949.3477066078.

The spelling of 855610128 in words is "eight hundred fifty-five million, six hundred ten thousand, one hundred twenty-eight".