68324832 has 72 divisors (see below), whose sum is σ = 197641080. Its totient is φ = 22383360.

The previous prime is 68324827. The next prime is 68324843. The reversal of 68324832 is 23842386.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14982 + ... + 19002.

It is an arithmetic number, because the mean of its divisors is an integer number (2745015).

Almost surely, 2^68324832 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 68324832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98820540).

68324832 is an abundant number, since it is smaller than the sum of its proper divisors (129316248).

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

68324832 is a wasteful number, since it uses less digits than its factorization.

68324832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4096 (or 4085 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 68324832 is about 8265.8836188275. The cubic root of 68324832 is about 408.8144055851.

It can be divided in two parts, 6832 and 4832, that added together give a square (11664 = 108²).

The spelling of 68324832 in words is "sixty-eight million, three hundred twenty-four thousand, eight hundred thirty-two".