851961600 has 324 divisors, whose sum is σ = 3482738896. Its totient is φ = 194641920.

The previous prime is 851961553. The next prime is 851961601. The reversal of 851961600 is 6169158.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (851961601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 402144 + ... + 404256.

Almost surely, 2^851961600 is an apocalyptic number.

851961600 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 851961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741369448).

851961600 is an abundant number, since it is smaller than the sum of its proper divisors (2630777296).

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

851961600 is a wasteful number, since it uses less digits than its factorization.

851961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 851961600 is about 29188.3812500796. The cubic root of 851961600 is about 947.9963680895.

The spelling of 851961600 in words is "eight hundred fifty-one million, nine hundred sixty-one thousand, six hundred".