1029703680 has 144 divisors (see below), whose sum is σ = 3569087340. Its totient is φ = 274563072.

The previous prime is 1029703679. The next prime is 1029703691. The reversal of 1029703680 is 863079201.

1029703680 is a `hidden beast` number, since 1 + 0 + 297 + 0 + 368 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1021953024 + 7750656 = 31968^2 + 2784^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86574 + ... + 97746.

Almost surely, 2^1029703680 is an apocalyptic number.

1029703680 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 1029703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784543670).

1029703680 is an abundant number, since it is smaller than the sum of its proper divisors (2539383660).

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

1029703680 is a wasteful number, since it uses less digits than its factorization.

1029703680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11206 (or 11183 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1029703680 is about 32088.9962448189. The cubic root of 1029703680 is about 1009.8047787897.

The spelling of 1029703680 in words is "one billion, twenty-nine million, seven hundred three thousand, six hundred eighty".