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666460080 = 2432511136473
BaseRepresentation
bin100111101110010…
…101111110110000
31201110001200100200
4213232111332300
52331103210310
6150044315200
722341550206
oct4756257660
91643050320
10666460080
11312221360
12167242b00
13a80c80a0
1464727076
153d7999c0
hex27b95fb0

666460080 has 240 divisors, whose sum is σ = 2629894176. Its totient is φ = 149114880.

The previous prime is 666460079. The next prime is 666460087. The reversal of 666460080 is 80064666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (666460087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99724 + ... + 106196.

Almost surely, 2666460080 is an apocalyptic number.

666460080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666460080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314947088).

666460080 is an abundant number, since it is smaller than the sum of its proper divisors (1963434096).

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

666460080 is a wasteful number, since it uses less digits than its factorization.

666460080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6516 (or 6507 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 666460080 is about 25815.8881311490. Note that the first 3 decimals coincide. The cubic root of 666460080 is about 873.4902203759.

The spelling of 666460080 in words is "six hundred sixty-six million, four hundred sixty thousand, eighty".