1066253400 has 144 divisors (see below), whose sum is σ = 3769420200. Its totient is φ = 269360640.

The previous prime is 1066253399. The next prime is 1066253429. The reversal of 1066253400 is 43526601.

1066253400 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 253 + 400 = 666.

It is a super-2 number, since 2×1066253400² = 2273792626023120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18612 + ... + 49788.

Almost surely, 2^1066253400 is an apocalyptic number.

1066253400 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 1066253400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884710100).

1066253400 is an abundant number, since it is smaller than the sum of its proper divisors (2703166800).

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

1066253400 is a wasteful number, since it uses less digits than its factorization.

1066253400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31218 (or 31206 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1066253400 is about 32653.5357962962. The cubic root of 1066253400 is about 1021.6139385861.

The spelling of 1066253400 in words is "one billion, sixty-six million, two hundred fifty-three thousand, four hundred".