1066800400 has 60 divisors (see below), whose sum is σ = 2573942400. Its totient is φ = 424896640.

The previous prime is 1066800367. The next prime is 1066800419. The reversal of 1066800400 is 40086601.

It is a super-2 number, since 2×1066800400² = 2276126186880320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90021 + ... + 101179.

It is an arithmetic number, because the mean of its divisors is an integer number (42899040).

Almost surely, 2^1066800400 is an apocalyptic number.

1066800400 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 1066800400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286971200).

1066800400 is an abundant number, since it is smaller than the sum of its proper divisors (1507142000).

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

1066800400 is a wasteful number, since it uses less digits than its factorization.

1066800400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11416 (or 11405 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 1066800400 is about 32661.9105381176. The cubic root of 1066800400 is about 1021.7886085382.

The spelling of 1066800400 in words is "one billion, sixty-six million, eight hundred thousand, four hundred".