68294304 has 288 divisors, whose sum is σ = 235282320. Its totient is φ = 18579456.

The previous prime is 68294293. The next prime is 68294311. The reversal of 68294304 is 40349286.

It is a happy number.

68294304 is a `hidden beast` number, since 68 + 294 + 304 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 46949904 + 21344400 = 6852^2 + 4620^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×68294304² = 9328223917688832, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1845774 + ... + 1845810.

Almost surely, 2^68294304 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 68294304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117641160).

68294304 is an abundant number, since it is smaller than the sum of its proper divisors (166988016).

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

68294304 is a wasteful number, since it uses less digits than its factorization.

68294304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 68294304 is about 8264.0367859781. The cubic root of 68294304 is about 408.7535094949.

The spelling of 68294304 in words is "sixty-eight million, two hundred ninety-four thousand, three hundred four".