1030681440 has 288 divisors, whose sum is σ = 3782915136. Its totient is φ = 254607360.

The previous prime is 1030681439. The next prime is 1030681441. The reversal of 1030681440 is 441860301.

It is an interprime number because it is at equal distance from previous prime (1030681439) and next prime (1030681441).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030681441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1737784 + ... + 1738376.

It is an arithmetic number, because the mean of its divisors is an integer number (13135122).

Almost surely, 2^1030681440 is an apocalyptic number.

1030681440 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 1030681440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891457568).

1030681440 is an abundant number, since it is smaller than the sum of its proper divisors (2752233696).

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

1030681440 is a wasteful number, since it uses less digits than its factorization.

1030681440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 691 counting only the distinct ones).

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

The square root of 1030681440 is about 32104.2277589728. The cubic root of 1030681440 is about 1010.1242993117.

The spelling of 1030681440 in words is "one billion, thirty million, six hundred eighty-one thousand, four hundred forty".