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68664024 = 23351113219
BaseRepresentation
bin1000001011110…
…11101011011000
311210012111100000
410011323223120
5120034222044
610451413000
71462430442
oct405735330
9153174300
1068664024
1135839330
121abb4160
13112c1700
149195492
156064d69
hex417bad8

68664024 has 288 divisors, whose sum is σ = 239803200. Its totient is φ = 18195840.

The previous prime is 68664017. The next prime is 68664031. The reversal of 68664024 is 42046686.

It is a happy number.

68664024 is a `hidden beast` number, since 6 + 8 + 6 + 640 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (68664017) and next prime (68664031).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 68664024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3613887 + ... + 3613905.

It is an arithmetic number, because the mean of its divisors is an integer number (832650).

Almost surely, 268664024 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 68664024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119901600).

68664024 is an abundant number, since it is smaller than the sum of its proper divisors (171139176).

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

68664024 is a wasteful number, since it uses less digits than its factorization.

68664024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 68664024 is about 8286.3758061049. The cubic root of 68664024 is about 409.4897956641.

The spelling of 68664024 in words is "sixty-eight million, six hundred sixty-four thousand, twenty-four".