1066548672 has 168 divisors, whose sum is σ = 3536996736. Its totient is φ = 300962304.

The previous prime is 1066548671. The next prime is 1066548697. The reversal of 1066548672 is 2768456601.

1066548672 is a `hidden beast` number, since 106 + 65 + 486 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×1066548672² = 2275052139489927168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066548671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333063 + ... + 336249.

It is an arithmetic number, because the mean of its divisors is an integer number (21053552).

Almost surely, 2^1066548672 is an apocalyptic number.

1066548672 is a gapful number since it is divisible by the number (12) 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 1066548672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768498368).

1066548672 is an abundant number, since it is smaller than the sum of its proper divisors (2470448064).

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

1066548672 is a wasteful number, since it uses less digits than its factorization.

1066548672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3295 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1066548672 is about 32658.0567701142. The cubic root of 1066548672 is about 1021.7082332913.

The spelling of 1066548672 in words is "one billion, sixty-six million, five hundred forty-eight thousand, six hundred seventy-two".