851987136 has 504 divisors, whose sum is σ = 3165238272. Its totient is φ = 197683200.

The previous prime is 851987131. The next prime is 851987159. The reversal of 851987136 is 631789158.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (851987131) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 27483441 + ... + 27483471.

Almost surely, 2^851987136 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 851987136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582619136).

851987136 is an abundant number, since it is smaller than the sum of its proper divisors (2313251136).

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

851987136 is a wasteful number, since it uses less digits than its factorization.

851987136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 67 counting only the distinct ones).

The product of its digits is 362880, while the sum is 48.

The square root of 851987136 is about 29188.8186811320. The cubic root of 851987136 is about 948.0058394840.

The spelling of 851987136 in words is "eight hundred fifty-one million, nine hundred eighty-seven thousand, one hundred thirty-six".