1035820800 has 486 divisors, whose sum is σ = 4319650608. Its totient is φ = 236113920.

The previous prime is 1035820789. The next prime is 1035820823. The reversal of 1035820800 is 80285301.

It is a happy number.

1035820800 is a `hidden beast` number, since 1 + 0 + 3 + 582 + 0 + 80 + 0 = 666.

It is a super-3 number, since 3×1035820800³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2822217 + ... + 2822583.

Almost surely, 2^1035820800 is an apocalyptic number.

1035820800 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 1035820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159825304).

1035820800 is an abundant number, since it is smaller than the sum of its proper divisors (3283829808).

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

1035820800 is a wasteful number, since it uses less digits than its factorization.

1035820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1035820800 is about 32184.1700219223. The cubic root of 1035820800 is about 1011.8004678819.

The spelling of 1035820800 in words is "one billion, thirty-five million, eight hundred twenty thousand, eight hundred".