1066062816 has 432 divisors, whose sum is σ = 3942918000. Its totient is φ = 279272448.

The previous prime is 1066062793. The next prime is 1066062839. The reversal of 1066062816 is 6182606601.

1066062816 is a `hidden beast` number, since 10 + 6 + 6 + 0 + 628 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (1066062793) and next prime (1066062839).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1066062816² = 2272979855315699712, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 7154710 + ... + 7154858.

It is an arithmetic number, because the mean of its divisors is an integer number (9127125).

Almost surely, 2^1066062816 is an apocalyptic number.

1066062816 is a gapful number since it is divisible by the number (16) 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 1066062816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971459000).

1066062816 is an abundant number, since it is smaller than the sum of its proper divisors (2876855184).

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

1066062816 is a wasteful number, since it uses less digits than its factorization.

1066062816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1066062816 is about 32650.6173907937. The cubic root of 1066062816 is about 1021.5530666043.

The spelling of 1066062816 in words is "one billion, sixty-six million, sixty-two thousand, eight hundred sixteen".