68344416 has 216 divisors, whose sum is σ = 235282320. Its totient is φ = 18740736.

The previous prime is 68344411. The next prime is 68344447. The reversal of 68344416 is 61444386.

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 not an unprimeable number, because it can be changed into a prime (68344411) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 409165 + ... + 409331.

It is an arithmetic number, because the mean of its divisors is an integer number (1089270).

Almost surely, 2^68344416 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 68344416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117641160).

68344416 is an abundant number, since it is smaller than the sum of its proper divisors (166937904).

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

68344416 is a wasteful number, since it uses less digits than its factorization.

68344416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 208 counting only the distinct ones).

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

The square root of 68344416 is about 8267.0681622931. The cubic root of 68344416 is about 408.8534614513.

The spelling of 68344416 in words is "sixty-eight million, three hundred forty-four thousand, four hundred sixteen".