68153280 has 224 divisors, whose sum is σ = 240328704. Its totient is φ = 16257024.

The previous prime is 68153257. The next prime is 68153299. The reversal of 68153280 is 8235186.

It is a happy number.

It is a congruent number.

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, 536577 + ... + 536703.

It is an arithmetic number, because the mean of its divisors is an integer number (1072896).

Almost surely, 2^68153280 is an apocalyptic number.

68153280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is a pronic number, being equal to 8255×8256.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68153280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120164352).

68153280 is an abundant number, since it is smaller than the sum of its proper divisors (172175424).

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

68153280 is a wasteful number, since it uses less digits than its factorization.

68153280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 68153280 is about 8255.4999848586. The cubic root of 68153280 is about 408.4719644055.

The spelling of 68153280 in words is "sixty-eight million, one hundred fifty-three thousand, two hundred eighty".