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68859648 = 28321121319
BaseRepresentation
bin1000001101010…
…11011100000000
311210120102200100
410012223130000
5120112002043
610455522400
71464203664
oct406533400
9153512610
1068859648
1135962300
121b089400
131135c770
1492068a4
1560a2cd3
hex41ab700

68859648 has 324 divisors, whose sum is σ = 247385320. Its totient is φ = 18247680.

The previous prime is 68859643. The next prime is 68859683. The reversal of 68859648 is 84695886.

It is a happy number.

68859648 is a `hidden beast` number, since 6 + 8 + 8 + 596 + 48 = 666.

It is a super-2 number, since 2×688596482 = 9483302245367808, which contains 22 as substring.

Its product of digits (3317760) is a multiple of the sum of its prime divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 68859594 and 68859603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68859643) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3624183 + ... + 3624201.

Almost surely, 268859648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68859648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123692660).

68859648 is an abundant number, since it is smaller than the sum of its proper divisors (178525672).

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

68859648 is a wasteful number, since it uses less digits than its factorization.

68859648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 48 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 68859648 is about 8298.1713648249. The cubic root of 68859648 is about 409.8783061397.

The spelling of 68859648 in words is "sixty-eight million, eight hundred fifty-nine thousand, six hundred forty-eight".