851207616 has 252 divisors, whose sum is σ = 2945925528. Its totient is φ = 242984448.

The previous prime is 851207611. The next prime is 851207627. The reversal of 851207616 is 616702158.

It is a tau number, because it is divible by the number of its divisors (252).

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 (851207611) 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, 761490 + ... + 762606.

Almost surely, 2^851207616 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 851207616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472962764).

851207616 is an abundant number, since it is smaller than the sum of its proper divisors (2094717912).

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

851207616 is a wasteful number, since it uses less digits than its factorization.

851207616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 851207616 is about 29175.4625670271. The cubic root of 851207616 is about 947.7166273691.

The spelling of 851207616 in words is "eight hundred fifty-one million, two hundred seven thousand, six hundred sixteen".