852416640 has 192 divisors, whose sum is σ = 2980635840. Its totient is φ = 224446464.

The previous prime is 852416629. The next prime is 852416651. The reversal of 852416640 is 46614258.

852416640 is a `hidden beast` number, since 8 + 5 + 2 + 4 + 1 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (852416629) and next prime (852416651).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×852416640² = 1453228256297779200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 852416595 and 852416604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 477189 + ... + 478971.

It is an arithmetic number, because the mean of its divisors is an integer number (15524145).

Almost surely, 2^852416640 is an apocalyptic number.

852416640 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 852416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490317920).

852416640 is an abundant number, since it is smaller than the sum of its proper divisors (2128219200).

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

852416640 is a wasteful number, since it uses less digits than its factorization.

852416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 852416640 is about 29196.1750919534. The cubic root of 852416640 is about 948.1651157144.

The spelling of 852416640 in words is "eight hundred fifty-two million, four hundred sixteen thousand, six hundred forty".