1027896416 has 48 divisors (see below), whose sum is σ = 2133054000. Its totient is φ = 486839808.

The previous prime is 1027896383. The next prime is 1027896433. The reversal of 1027896416 is 6146987201.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 38735 + ... + 59633.

It is an arithmetic number, because the mean of its divisors is an integer number (44438625).

Almost surely, 2^1027896416 is an apocalyptic number.

1027896416 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 1027896416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066527000).

1027896416 is an abundant number, since it is smaller than the sum of its proper divisors (1105157584).

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

1027896416 is a wasteful number, since it uses less digits than its factorization.

1027896416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20991 (or 20983 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 1027896416 is about 32060.8236949708. The cubic root of 1027896416 is about 1009.2136532079.

The spelling of 1027896416 in words is "one billion, twenty-seven million, eight hundred ninety-six thousand, four hundred sixteen".