1030090320 has 480 divisors, whose sum is σ = 4308295680. Its totient is φ = 215239680.

The previous prime is 1030090307. The next prime is 1030090337. The reversal of 1030090320 is 230900301.

It is a super-2 number, since 2×1030090320² = 2122172134715404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1030090293 and 1030090302.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2968387 + ... + 2968733.

It is an arithmetic number, because the mean of its divisors is an integer number (8975616).

Almost surely, 2^1030090320 is an apocalyptic number.

1030090320 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 1030090320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154147840).

1030090320 is an abundant number, since it is smaller than the sum of its proper divisors (3278205360).

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

1030090320 is a wasteful number, since it uses less digits than its factorization.

1030090320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1030090320 is about 32095.0201744757. The cubic root of 1030090320 is about 1009.9311523831.

Adding to 1030090320 its reverse (230900301), we get a palindrome (1260990621).

The spelling of 1030090320 in words is "one billion, thirty million, ninety thousand, three hundred twenty".