1020866400 has 216 divisors, whose sum is σ = 3652359984. Its totient is φ = 268262400.

The previous prime is 1020866393. The next prime is 1020866419. The reversal of 1020866400 is 46680201.

1020866400 is a `hidden beast` number, since 10 + 2 + 0 + 8 + 6 + 640 + 0 = 666.

It is a Cunningham number, because it is equal to 31951²-1.

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, 510202 + ... + 512198.

It is an arithmetic number, because the mean of its divisors is an integer number (16909074).

Almost surely, 2^1020866400 is an apocalyptic number.

1020866400 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 1020866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826179992).

1020866400 is an abundant number, since it is smaller than the sum of its proper divisors (2631493584).

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

1020866400 is a wasteful number, since it uses less digits than its factorization.

1020866400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2078 counting only the distinct ones).

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

The square root of 1020866400 is about 31950.9999843510. Note that the first 4 decimals coincide. The cubic root of 1020866400 is about 1006.9076412913.

The spelling of 1020866400 in words is "one billion, twenty million, eight hundred sixty-six thousand, four hundred".