68993280 has 216 divisors, whose sum is σ = 245365848. Its totient is φ = 17891328.

The previous prime is 68993273. The next prime is 68993297. The reversal of 68993280 is 8239986.

68993280 = T₁₈₄ + T₁₈₅ + ... + T₇₄₈.

It can be written as a sum of positive squares in 4 ways, for example, as 831744 + 68161536 = 912^2 + 8256^2 .

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

It is an unprimeable number.

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, 610504 + ... + 610616.

It is an arithmetic number, because the mean of its divisors is an integer number (1135953).

Almost surely, 2^68993280 is an apocalyptic number.

68993280 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 68993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122682924).

68993280 is an abundant number, since it is smaller than the sum of its proper divisors (176372568).

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

68993280 is a wasteful number, since it uses less digits than its factorization.

68993280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 68993280 is about 8306.2193566026. The cubic root of 68993280 is about 410.1432773094.

The spelling of 68993280 in words is "sixty-eight million, nine hundred ninety-three thousand, two hundred eighty".