68824080 has 400 divisors, whose sum is σ = 277273920. Its totient is φ = 15676416.

The previous prime is 68824069. The next prime is 68824081. The reversal of 68824080 is 8042886.

68824080 = T₃₃₇ + T₃₃₈ + ... + T₇₆₆.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68824081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1600539 + ... + 1600581.

Almost surely, 2^68824080 is an apocalyptic number.

68824080 is a gapful number since it is divisible by the number (60) 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 68824080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138636960).

68824080 is an abundant number, since it is smaller than the sum of its proper divisors (208449840).

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

68824080 is a wasteful number, since it uses less digits than its factorization.

68824080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 68824080 is about 8296.0279652373. The cubic root of 68824080 is about 409.8077226518.

The spelling of 68824080 in words is "sixty-eight million, eight hundred twenty-four thousand, eighty".