1030881600 has 504 divisors, whose sum is σ = 4380463680. Its totient is φ = 235146240.

The previous prime is 1030881587. The next prime is 1030881619. The reversal of 1030881600 is 61880301.

It is a tau number, because it is divible by the number of its divisors (504).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2116557 + ... + 2117043.

Almost surely, 2^1030881600 is an apocalyptic number.

1030881600 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 1030881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190231840).

1030881600 is an abundant number, since it is smaller than the sum of its proper divisors (3349582080).

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

1030881600 is a wasteful number, since it uses less digits than its factorization.

1030881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1030881600 is about 32107.3449540755. The cubic root of 1030881600 is about 1010.1896843360.

The spelling of 1030881600 in words is "one billion, thirty million, eight hundred eighty-one thousand, six hundred".