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1664064 = 2635107
BaseRepresentation
bin110010110010001000000
310010112200000
412112101000
5411222224
655400000
720100333
oct6262100
93115600
101664064
11a37266
12683000
1346356c
1431461a
1522d0c9
hex196440

1664064 has 84 divisors (see below), whose sum is σ = 4992624. Its totient is φ = 549504.

The previous prime is 1664063. The next prime is 1664071. The reversal of 1664064 is 4604661.

1664064 is a `hidden beast` number, since 16 + 640 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (1664063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15499 + ... + 15605.

It is an arithmetic number, because the mean of its divisors is an integer number (59436).

21664064 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 1664064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496312).

1664064 is an abundant number, since it is smaller than the sum of its proper divisors (3328560).

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

1664064 is an equidigital number, since it uses as much as digits as its factorization.

1664064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1664064 is about 1289.9860464362. The cubic root of 1664064 is about 118.5013619456.

The spelling of 1664064 in words is "one million, six hundred sixty-four thousand, sixty-four".