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68363680 = 25571131179
BaseRepresentation
bin1000001001100…
…10010110100000
311202122020100011
410010302112200
5120000114210
610441134304
71460040010
oct404622640
9152566304
1068363680
1135653710
121aa8a394
1311217aa8
149117c40
156005d8a
hex41325a0

68363680 has 192 divisors, whose sum is σ = 209018880. Its totient is φ = 20505600.

The previous prime is 68363671. The next prime is 68363689. The reversal of 68363680 is 8636386.

It is an interprime number because it is at equal distance from previous prime (68363671) and next prime (68363689).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (68363689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381831 + ... + 382009.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 268363680 is an apocalyptic number.

68363680 is the 4774-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68363680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104509440).

68363680 is an abundant number, since it is smaller than the sum of its proper divisors (140655200).

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

68363680 is a wasteful number, since it uses less digits than its factorization.

68363680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 68363680 is about 8268.2331849072. The cubic root of 68363680 is about 408.8918718714.

The spelling of 68363680 in words is "sixty-eight million, three hundred sixty-three thousand, six hundred eighty".