68361216 has 264 divisors, whose sum is σ = 241316736. Its totient is φ = 16711680.

The previous prime is 68361211. The next prime is 68361217. The reversal of 68361216 is 61216386.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68361211) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4021240 + ... + 4021256.

Almost surely, 2^68361216 is an apocalyptic number.

68361216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68361216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120658368).

68361216 is an abundant number, since it is smaller than the sum of its proper divisors (172955520).

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

68361216 is a wasteful number, since it uses less digits than its factorization.

68361216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 40 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 68361216 is about 8268.0841795424. The cubic root of 68361216 is about 408.8869593132.

The spelling of 68361216 in words is "sixty-eight million, three hundred sixty-one thousand, two hundred sixteen".