852729120 has 240 divisors, whose sum is σ = 3168728640. Its totient is φ = 215364096.

The previous prime is 852729109. The next prime is 852729149. The reversal of 852729120 is 21927258.

852729120 is a `hidden beast` number, since 8 + 527 + 2 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 244509 + ... + 247971.

It is an arithmetic number, because the mean of its divisors is an integer number (13203036).

Almost surely, 2^852729120 is an apocalyptic number.

852729120 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 852729120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584364320).

852729120 is an abundant number, since it is smaller than the sum of its proper divisors (2315999520).

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

852729120 is a wasteful number, since it uses less digits than its factorization.

852729120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3509 (or 3492 counting only the distinct ones).

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

The square root of 852729120 is about 29201.5259875233. The cubic root of 852729120 is about 948.2809614268.

The spelling of 852729120 in words is "eight hundred fifty-two million, seven hundred twenty-nine thousand, one hundred twenty".