1027551664 has 40 divisors (see below), whose sum is σ = 2090334960. Its totient is φ = 488640768.

The previous prime is 1027551659. The next prime is 1027551667. The reversal of 1027551664 is 4661557201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1027551667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14562 + ... + 47614.

It is an arithmetic number, because the mean of its divisors is an integer number (52258374).

Almost surely, 2^1027551664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1027551664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045167480).

1027551664 is an abundant number, since it is smaller than the sum of its proper divisors (1062783296).

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

1027551664 is a wasteful number, since it uses less digits than its factorization.

1027551664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33157 (or 33151 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 1027551664 is about 32055.4467134682. The cubic root of 1027551664 is about 1009.1008119640.

The spelling of 1027551664 in words is "one billion, twenty-seven million, five hundred fifty-one thousand, six hundred sixty-four".