1591946016 has 96 divisors (see below), whose sum is σ = 4326819840. Its totient is φ = 512096256.

The previous prime is 1591946009. The next prime is 1591946023. The reversal of 1591946016 is 6106491951.

It is an interprime number because it is at equal distance from previous prime (1591946009) and next prime (1591946023).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449340 + ... + 452868.

It is an arithmetic number, because the mean of its divisors is an integer number (45071040).

Almost surely, 2^1591946016 is an apocalyptic number.

1591946016 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 1591946016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163409920).

1591946016 is an abundant number, since it is smaller than the sum of its proper divisors (2734873824).

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

1591946016 is a wasteful number, since it uses less digits than its factorization.

1591946016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 1591946016 is about 39899.1981874323. The cubic root of 1591946016 is about 1167.6412938017.

The spelling of 1591946016 in words is "one billion, five hundred ninety-one million, nine hundred forty-six thousand, sixteen".