68834880 has 224 divisors, whose sum is σ = 251642880. Its totient is φ = 17694720.

The previous prime is 68834879. The next prime is 68834933. The reversal of 68834880 is 8843886.

It is a super-2 number, since 2×68834880² = 9476481409228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267712 + ... + 267968.

Almost surely, 2^68834880 is an apocalyptic number.

68834880 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 68834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125821440).

68834880 is an abundant number, since it is smaller than the sum of its proper divisors (182808000).

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

68834880 is a wasteful number, since it uses less digits than its factorization.

68834880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 68834880 is about 8296.6788536137. The cubic root of 68834880 is about 409.8291574554.

The spelling of 68834880 in words is "sixty-eight million, eight hundred thirty-four thousand, eight hundred eighty".