68952 has 48 divisors (see below), whose sum is σ = 197640. Its totient is φ = 19968.

The previous prime is 68947. The next prime is 68963. The reversal of 68952 is 25986.

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4048 + ... + 4064.

2⁶⁸⁹⁵² 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 68952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98820).

68952 is an abundant number, since it is smaller than the sum of its proper divisors (128688).

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

68952 is a wasteful number, since it uses less digits than its factorization.

68952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 35 counting only the distinct ones).

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

The square root of 68952 is about 262.5871283974. The cubic root of 68952 is about 41.0061462132.

It can be divided in two parts, 689 and 52, that added together give a triangular number (741 = T₃₈).

The spelling of 68952 in words is "sixty-eight thousand, nine hundred fifty-two".