1021580416 has 32 divisors (see below), whose sum is σ = 2047409280. Its totient is φ = 507720960.

The previous prime is 1021580411. The next prime is 1021580431. The reversal of 1021580416 is 6140851201.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (1021580411) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2520 + ... + 45271.

It is an arithmetic number, because the mean of its divisors is an integer number (63981540).

Almost surely, 2^1021580416 is an apocalyptic number.

1021580416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1021580416 is an abundant number, since it is smaller than the sum of its proper divisors (1025828864).

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

1021580416 is an equidigital number, since it uses as much as digits as its factorization.

1021580416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47972 (or 47960 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 1021580416 is about 31962.1716408632. The cubic root of 1021580416 is about 1007.1423375635.

The spelling of 1021580416 in words is "one billion, twenty-one million, five hundred eighty thousand, four hundred sixteen".