852374016 has 480 divisors, whose sum is σ = 3002807808. Its totient is φ = 238878720.

The previous prime is 852373987. The next prime is 852374023. The reversal of 852374016 is 610473258.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 27495921 + ... + 27495951.

Almost surely, 2^852374016 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 852374016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501403904).

852374016 is an abundant number, since it is smaller than the sum of its proper divisors (2150433792).

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

852374016 is a wasteful number, since it uses less digits than its factorization.

852374016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 852374016 is about 29195.4451241970. The cubic root of 852374016 is about 948.1493115244.

It can be divided in two parts, 85237 and 4016, that added together give a triangular number (89253 = T₄₂₂).

The spelling of 852374016 in words is "eight hundred fifty-two million, three hundred seventy-four thousand, sixteen".