1027673856 has 432 divisors, whose sum is σ = 3535564032. Its totient is φ = 283852800.

The previous prime is 1027673821. The next prime is 1027673863. The reversal of 1027673856 is 6583767201.

It is a super-2 number, since 2×1027673856² = 2112227108611817472, which contains 22 as substring.

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, 23899371 + ... + 23899413.

It is an arithmetic number, because the mean of its divisors is an integer number (8184176).

Almost surely, 2^1027673856 is an apocalyptic number.

1027673856 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 1027673856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767782016).

1027673856 is an abundant number, since it is smaller than the sum of its proper divisors (2507890176).

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

1027673856 is a wasteful number, since it uses less digits than its factorization.

1027673856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 1027673856 is about 32057.3526043558. The cubic root of 1027673856 is about 1009.1408096801.

The spelling of 1027673856 in words is "one billion, twenty-seven million, six hundred seventy-three thousand, eight hundred fifty-six".