686952 has 96 divisors (see below), whose sum is σ = 2246400. Its totient is φ = 185472.

The previous prime is 686947. The next prime is 686963. The reversal of 686952 is 259686.

686952 = T₂₀₃ + T₂₀₄ + ... + T₂₃₁.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 686952.

It is an unprimeable number.

686952 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 23 ways as a sum of consecutive naturals, for example, 14593 + ... + 14639.

It is an arithmetic number, because the mean of its divisors is an integer number (23400).

2⁶⁸⁶⁹⁵² 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 686952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123200).

686952 is an abundant number, since it is smaller than the sum of its proper divisors (1559448).

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

686952 is a wasteful number, since it uses less digits than its factorization.

686952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 88 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 686952 is about 828.8256752780. The cubic root of 686952 is about 88.2352520784.

The spelling of 686952 in words is "six hundred eighty-six thousand, nine hundred fifty-two".