1027706352 has 120 divisors (see below), whose sum is σ = 2830104576. Its totient is φ = 321293952.

The previous prime is 1027706347. The next prime is 1027706353. The reversal of 1027706352 is 2536077201.

1027706352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1027706352² = 2112360691882295808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027706353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2200423 + ... + 2200889.

Almost surely, 2^1027706352 is an apocalyptic number.

1027706352 is a gapful number since it is divisible by the number (12) 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 1027706352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415052288).

1027706352 is an abundant number, since it is smaller than the sum of its proper divisors (1802398224).

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

1027706352 is a wasteful number, since it uses less digits than its factorization.

1027706352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 1027706352 is about 32057.8594419528. The cubic root of 1027706352 is about 1009.1514462240.

The spelling of 1027706352 in words is "one billion, twenty-seven million, seven hundred six thousand, three hundred fifty-two".