1066867200 has 720 divisors, whose sum is σ = 4617412800. Its totient is φ = 243855360.

The previous prime is 1066867133. The next prime is 1066867211. The reversal of 1066867200 is 27686601.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1066867200² = 2276411244871680000, 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 71 ways as a sum of consecutive naturals, for example, 152409597 + ... + 152409603.

Almost surely, 2^1066867200 is an apocalyptic number.

1066867200 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 1066867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308706400).

1066867200 is an abundant number, since it is smaller than the sum of its proper divisors (3550545600).

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

1066867200 is an frugal number, since it uses more digits than its factorization.

1066867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1066867200 is about 32662.9331199756. The cubic root of 1066867200 is about 1021.8099352563.

Multiplying 1066867200 by its product of nonzero digits (24192), we get a square (25809651302400 = 5080320²).

1066867200 divided by its product of nonzero digits (24192) gives a square (44100 = 210²).

The spelling of 1066867200 in words is "one billion, sixty-six million, eight hundred sixty-seven thousand, two hundred".