1520104320 has 640 divisors, whose sum is σ = 6398092800. Its totient is φ = 336752640.

The previous prime is 1520104297. The next prime is 1520104321. The reversal of 1520104320 is 234010251.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×1520104320³ (a number of 29 digits) contains 333 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 = 1520104293 and 1520104302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1520104321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21409885 + ... + 21409955.

It is an arithmetic number, because the mean of its divisors is an integer number (9997020).

Almost surely, 2^1520104320 is an apocalyptic number.

1520104320 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 1520104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199046400).

1520104320 is an abundant number, since it is smaller than the sum of its proper divisors (4877988480).

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

1520104320 is an equidigital number, since it uses as much as digits as its factorization.

1520104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1520104320 is about 38988.5152320526. The cubic root of 1520104320 is about 1149.8057189128.

Adding to 1520104320 its reverse (234010251), we get a palindrome (1754114571).

The spelling of 1520104320 in words is "one billion, five hundred twenty million, one hundred four thousand, three hundred twenty".