1027274016 has 96 divisors (see below), whose sum is σ = 2784257280. Its totient is φ = 331474176.

The previous prime is 1027273997. The next prime is 1027274021. The reversal of 1027274016 is 6104727201.

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, 378135 + ... + 380841.

It is an arithmetic number, because the mean of its divisors is an integer number (29002680).

Almost surely, 2^1027274016 is an apocalyptic number.

1027274016 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 1027274016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392128640).

1027274016 is an abundant number, since it is smaller than the sum of its proper divisors (1756983264).

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

1027274016 is a wasteful number, since it uses less digits than its factorization.

1027274016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 1027274016 is about 32051.1156748092. The cubic root of 1027274016 is about 1009.0099162713.

The spelling of 1027274016 in words is "one billion, twenty-seven million, two hundred seventy-four thousand, sixteen".