1029352680 has 96 divisors (see below), whose sum is σ = 3460789800. Its totient is φ = 265026048.

The previous prime is 1029352673. The next prime is 1029352747. The reversal of 1029352680 is 862539201.

It can be written as a sum of positive squares in 4 ways, for example, as 1025408484 + 3944196 = 32022^2 + 1986^2 .

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38859 + ... + 59738.

Almost surely, 2^1029352680 is an apocalyptic number.

1029352680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1029352680 is an abundant number, since it is smaller than the sum of its proper divisors (2431437120).

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

1029352680 is a wasteful number, since it uses less digits than its factorization.

1029352680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98643 (or 98636 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1029352680 is about 32083.5266141364. The cubic root of 1029352680 is about 1009.6900267611.

The spelling of 1029352680 in words is "one billion, twenty-nine million, three hundred fifty-two thousand, six hundred eighty".