1520313984 has 288 divisors, whose sum is σ = 5314926240. Its totient is φ = 415134720.

The previous prime is 1520313973. The next prime is 1520314001. The reversal of 1520313984 is 4893130251.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1520313984² = 4622709219891904512, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1297719 + ... + 1298889.

It is an arithmetic number, because the mean of its divisors is an integer number (18454605).

Almost surely, 2^1520313984 is an apocalyptic number.

1520313984 is a gapful number since it is divisible by the number (14) 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 1520313984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657463120).

1520313984 is an abundant number, since it is smaller than the sum of its proper divisors (3794612256).

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

1520313984 is a wasteful number, since it uses less digits than its factorization.

1520313984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1206 counting only the distinct ones).

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

The square root of 1520313984 is about 38991.2039311432. The cubic root of 1520313984 is about 1149.8585797111.

The spelling of 1520313984 in words is "one billion, five hundred twenty million, three hundred thirteen thousand, nine hundred eighty-four".