685152 has 96 divisors (see below), whose sum is σ = 2187360. Its totient is φ = 207360.

The previous prime is 685141. The next prime is 685169. The reversal of 685152 is 251586.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

685152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11202 + ... + 11262.

It is an arithmetic number, because the mean of its divisors is an integer number (22785).

2⁶⁸⁵¹⁵² 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 685152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093680).

685152 is an abundant number, since it is smaller than the sum of its proper divisors (1502208).

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

685152 is a wasteful number, since it uses less digits than its factorization.

685152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 79 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 685152 is about 827.7390893271. The cubic root of 685152 is about 88.1581179283.

It can be divided in two parts, 6851 and 52, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 685152 in words is "six hundred eighty-five thousand, one hundred fifty-two".