1030529920 has 128 divisors (see below), whose sum is σ = 2892116160. Its totient is φ = 343719936.

The previous prime is 1030529917. The next prime is 1030529989. The reversal of 1030529920 is 299250301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×1030529920³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162652 + ... + 168868.

Almost surely, 2^1030529920 is an apocalyptic number.

1030529920 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 1030529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446058080).

1030529920 is an abundant number, since it is smaller than the sum of its proper divisors (1861586240).

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

1030529920 is an equidigital number, since it uses as much as digits as its factorization.

1030529920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6280 (or 6268 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 1030529920 is about 32101.8678584284. The cubic root of 1030529920 is about 1010.0747975845.

The spelling of 1030529920 in words is "one billion, thirty million, five hundred twenty-nine thousand, nine hundred twenty".