1580368416 has 288 divisors, whose sum is σ = 4951787904. Its totient is φ = 439296000.

The previous prime is 1580368409. The next prime is 1580368441. The reversal of 1580368416 is 6148630851.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10465941 + ... + 10466091.

It is an arithmetic number, because the mean of its divisors is an integer number (17193708).

Almost surely, 2^1580368416 is an apocalyptic number.

1580368416 is a gapful number since it is divisible by the number (16) 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 1580368416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475893952).

1580368416 is an abundant number, since it is smaller than the sum of its proper divisors (3371419488).

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

1580368416 is a wasteful number, since it uses less digits than its factorization.

1580368416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 1580368416 is about 39753.8478137651. The cubic root of 1580368416 is about 1164.8038046936.

The spelling of 1580368416 in words is "one billion, five hundred eighty million, three hundred sixty-eight thousand, four hundred sixteen".