66254760 has 360 divisors, whose sum is σ = 265051710. Its totient is φ = 14826240.

The previous prime is 66254737. The next prime is 66254761. The reversal of 66254760 is 6745266.

It can be written as a sum of positive squares in 3 ways, for example, as 28579716 + 37675044 = 5346^2 + 6138^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 (66254761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 5096514 + ... + 5096526.

Almost surely, 2^66254760 is an apocalyptic number.

66254760 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 66254760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132525855).

66254760 is an abundant number, since it is smaller than the sum of its proper divisors (198796950).

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

66254760 is a wasteful number, since it uses less digits than its factorization.

66254760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 66254760 is about 8139.7026972734. The cubic root of 66254760 is about 404.6433073441.

The spelling of 66254760 in words is "sixty-six million, two hundred fifty-four thousand, seven hundred sixty".