1066564400 has 120 divisors (see below), whose sum is σ = 2810486784. Its totient is φ = 385747200.

The previous prime is 1066564397. The next prime is 1066564453. The reversal of 1066564400 is 44656601.

It is a super-2 number, since 2×1066564400² = 2275119238694720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 980657 + ... + 981743.

Almost surely, 2^1066564400 is an apocalyptic number.

1066564400 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 1066564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405243392).

1066564400 is an abundant number, since it is smaller than the sum of its proper divisors (1743922384).

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

1066564400 is a wasteful number, since it uses less digits than its factorization.

1066564400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 1066564400 is about 32658.2975673871. The cubic root of 1066564400 is about 1021.7132555181.

The spelling of 1066564400 in words is "one billion, sixty-six million, five hundred sixty-four thousand, four hundred".