852625116 has 240 divisors, whose sum is σ = 2683512832. Its totient is φ = 230947200.

The previous prime is 852625079. The next prime is 852625129. The reversal of 852625116 is 611526258.

852625116 is a `hidden beast` number, since 85 + 2 + 62 + 511 + 6 = 666.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4710546 + ... + 4710726.

Almost surely, 2^852625116 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 852625116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341756416).

852625116 is an abundant number, since it is smaller than the sum of its proper divisors (1830887716).

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

852625116 is a wasteful number, since it uses less digits than its factorization.

852625116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 291 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 852625116 is about 29199.7451358740. The cubic root of 852625116 is about 948.2424071659.

The spelling of 852625116 in words is "eight hundred fifty-two million, six hundred twenty-five thousand, one hundred sixteen".