1066506480 has 320 divisors, whose sum is σ = 4166400000. Its totient is φ = 248583168.

The previous prime is 1066506457. The next prime is 1066506487. The reversal of 1066506480 is 846056601.

1066506480 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 5 + 0 + 648 + 0 = 666.

It is a super-2 number, since 2×1066506480² = 2274872143763980800, 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 not an unprimeable number, because it can be changed into a prime (1066506487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 532521 + ... + 534519.

It is an arithmetic number, because the mean of its divisors is an integer number (13020000).

Almost surely, 2^1066506480 is an apocalyptic number.

1066506480 is a gapful number since it is divisible by the number (10) 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 1066506480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083200000).

1066506480 is an abundant number, since it is smaller than the sum of its proper divisors (3099893520).

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

1066506480 is a wasteful number, since it uses less digits than its factorization.

1066506480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1066506480 is about 32657.4107975510. The cubic root of 1066506480 is about 1021.6947604002.

The spelling of 1066506480 in words is "one billion, sixty-six million, five hundred six thousand, four hundred eighty".