1066075920 has 480 divisors, whose sum is σ = 4504211712. Its totient is φ = 219967488.

The previous prime is 1066075903. The next prime is 1066075939. The reversal of 1066075920 is 295706601.

1066075920 = 361² + 362² + ... + 1480².

1066075920 is a `hidden beast` number, since 1 + 0 + 6 + 60 + 7 + 592 + 0 = 666.

It is a super-2 number, since 2×1066075920² = 2273035734407692800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3472407 + ... + 3472713.

Almost surely, 2^1066075920 is an apocalyptic number.

1066075920 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 1066075920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252105856).

1066075920 is an abundant number, since it is smaller than the sum of its proper divisors (3438135792).

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

1066075920 is a wasteful number, since it uses less digits than its factorization.

1066075920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1066075920 is about 32650.8180601957. The cubic root of 1066075920 is about 1021.5572522165.

The spelling of 1066075920 in words is "one billion, sixty-six million, seventy-five thousand, nine hundred twenty".