1027124064 has 144 divisors (see below), whose sum is σ = 3161313792. Its totient is φ = 327431808.

The previous prime is 1027124053. The next prime is 1027124069. The reversal of 1027124064 is 4604217201.

1027124064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027124069) 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, 175977 + ... + 181719.

It is an arithmetic number, because the mean of its divisors is an integer number (21953568).

Almost surely, 2^1027124064 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 1027124064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580656896).

1027124064 is an abundant number, since it is smaller than the sum of its proper divisors (2134189728).

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

1027124064 is an equidigital number, since it uses as much as digits as its factorization.

1027124064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5791 (or 5771 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1027124064 is about 32048.7763260939. The cubic root of 1027124064 is about 1008.9608185573.

The spelling of 1027124064 in words is "one billion, twenty-seven million, one hundred twenty-four thousand, sixty-four".