1066802400 has 360 divisors, whose sum is σ = 3953043864. Its totient is φ = 279936000.

The previous prime is 1066802371. The next prime is 1066802419. The reversal of 1066802400 is 42086601.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1066802400² = 2276134721291520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6544719 + ... + 6544881.

Almost surely, 2^1066802400 is an apocalyptic number.

1066802400 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 1066802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976521932).

1066802400 is an abundant number, since it is smaller than the sum of its proper divisors (2886241464).

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

1066802400 is a wasteful number, since it uses less digits than its factorization.

1066802400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1066802400 is about 32661.9411548058. The cubic root of 1066802400 is about 1021.7892470756.

The spelling of 1066802400 in words is "one billion, sixty-six million, eight hundred two thousand, four hundred".