1066400 has 72 divisors (see below), whose sum is σ = 2749824. Its totient is φ = 403200.

The previous prime is 1066399. The next prime is 1066409. The reversal of 1066400 is 46601.

It is a super-2 number, since 2×1066400² = 2274417920000, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1066409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24779 + ... + 24821.

It is an arithmetic number, because the mean of its divisors is an integer number (38192).

2^1066400 is an apocalyptic number.

1066400 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 1066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374912).

1066400 is an abundant number, since it is smaller than the sum of its proper divisors (1683424).

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

1066400 is a wasteful number, since it uses less digits than its factorization.

1066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1066400 is about 1032.6664514740. Note that the first 3 decimals coincide. The cubic root of 1066400 is about 102.1660757269.

The spelling of 1066400 in words is "one million, sixty-six thousand, four hundred".