1066025400 has 192 divisors, whose sum is σ = 3795292800. Its totient is φ = 244800000.

The previous prime is 1066025347. The next prime is 1066025437. The reversal of 1066025400 is 45206601.

1066025400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1066025400² = 2272820306890320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121150 + ... + 129650.

It is an arithmetic number, because the mean of its divisors is an integer number (19767150).

Almost surely, 2^1066025400 is an apocalyptic number.

1066025400 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 1066025400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897646400).

1066025400 is an abundant number, since it is smaller than the sum of its proper divisors (2729267400).

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

1066025400 is a wasteful number, since it uses less digits than its factorization.

1066025400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8550 (or 8541 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1066025400 is about 32650.0444103833. The cubic root of 1066025400 is about 1021.5411151895.

The spelling of 1066025400 in words is "one billion, sixty-six million, twenty-five thousand, four hundred".