68033952 has 144 divisors (see below), whose sum is σ = 230973120. Its totient is φ = 19426176.

The previous prime is 68033947. The next prime is 68033969. The reversal of 68033952 is 25933086.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41533 + ... + 43139.

It is an arithmetic number, because the mean of its divisors is an integer number (1603980).

Almost surely, 2^68033952 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 68033952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115486560).

68033952 is an abundant number, since it is smaller than the sum of its proper divisors (162939168).

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

68033952 is a wasteful number, since it uses less digits than its factorization.

68033952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 68033952 is about 8248.2696367178. The cubic root of 68033952 is about 408.2334304350.

The spelling of 68033952 in words is "sixty-eight million, thirty-three thousand, nine hundred fifty-two".