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66606408 = 23331117297
BaseRepresentation
bin1111111000010…
…1010101001000
311122022221211000
43332011111020
5114022401113
610335335000
71436100531
oct376052510
9148287730
1066606408
1134663420
121a381460
1310a50c9b
148bbb688
155caa373
hex3f85548

66606408 has 192 divisors, whose sum is σ = 216619200. Its totient is φ = 18800640.

The previous prime is 66606389. The next prime is 66606409. The reversal of 66606408 is 80460666.

66606408 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66606409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686616 + ... + 686712.

It is an arithmetic number, because the mean of its divisors is an integer number (1128225).

Almost surely, 266606408 is an apocalyptic number.

66606408 is a gapful number since it is divisible by the number (68) 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 66606408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108309600).

66606408 is an abundant number, since it is smaller than the sum of its proper divisors (150012792).

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

66606408 is a wasteful number, since it uses less digits than its factorization.

66606408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

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

The square root of 66606408 is about 8161.2749004062. The cubic root of 66606408 is about 405.3579277503.

The spelling of 66606408 in words is "sixty-six million, six hundred six thousand, four hundred eight".