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668462080 = 21051121383
BaseRepresentation
bin100111110101111…
…110110000000000
31201120211101120211
4213311332300000
52332111241310
6150155243504
722364556016
oct4765766000
91646741524
10668462080
11313369500
12167a49594
13a86493c0
1464ac88b6
153da42c8a
hex27d7ec00

668462080 has 264 divisors, whose sum is σ = 1921003056. Its totient is φ = 221675520.

The previous prime is 668462027. The next prime is 668462101. The reversal of 668462080 is 80264866.

668462080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8053719 + ... + 8053801.

Almost surely, 2668462080 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 668462080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960501528).

668462080 is an abundant number, since it is smaller than the sum of its proper divisors (1252540976).

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

668462080 is a wasteful number, since it uses less digits than its factorization.

668462080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 668462080 is about 25854.6336272630. The cubic root of 668462080 is about 874.3639807962.

The spelling of 668462080 in words is "six hundred sixty-eight million, four hundred sixty-two thousand, eighty".