1029413680 has 40 divisors (see below), whose sum is σ = 2400551712. Its totient is φ = 410532864.

The previous prime is 1029413653. The next prime is 1029413681. The reversal of 1029413680 is 863149201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1029413680² = 2119385049142284800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1029413681) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7869 + ... + 46051.

Almost surely, 2^1029413680 is an apocalyptic number.

1029413680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1029413680 is an abundant number, since it is smaller than the sum of its proper divisors (1371138032).

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

1029413680 is a wasteful number, since it uses less digits than its factorization.

1029413680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38533 (or 38527 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 1029413680 is about 32084.4772436766. The cubic root of 1029413680 is about 1009.7099712940.

The spelling of 1029413680 in words is "one billion, twenty-nine million, four hundred thirteen thousand, six hundred eighty".