1040986800 has 360 divisors, whose sum is σ = 4179658080. Its totient is φ = 235008000.

The previous prime is 1040986787. The next prime is 1040986811. The reversal of 1040986800 is 86890401.

It is a happy number.

1040986800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2544996 + ... + 2545404.

Almost surely, 2^1040986800 is an apocalyptic number.

1040986800 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 1040986800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089829040).

1040986800 is an abundant number, since it is smaller than the sum of its proper divisors (3138671280).

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

1040986800 is a wasteful number, since it uses less digits than its factorization.

1040986800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1040986800 is about 32264.3270501649. The cubic root of 1040986800 is about 1013.4797466574.

The spelling of 1040986800 in words is "one billion, forty million, nine hundred eighty-six thousand, eight hundred".