852960 has 48 divisors (see below), whose sum is σ = 2688336. Its totient is φ = 227328.

The previous prime is 852959. The next prime is 852989. The reversal of 852960 is 69258.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 409 + ... + 1368.

It is an arithmetic number, because the mean of its divisors is an integer number (56007).

2⁸⁵²⁹⁶⁰ is an apocalyptic number.

852960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

852960 is an abundant number, since it is smaller than the sum of its proper divisors (1835376).

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

852960 is a wasteful number, since it uses less digits than its factorization.

852960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 852960 is about 923.5583360027. The cubic root of 852960 is about 94.8366537392.

The spelling of 852960 in words is "eight hundred fifty-two thousand, nine hundred sixty".