1024326864 has 160 divisors (see below), whose sum is σ = 3318537600. Its totient is φ = 299658240.

The previous prime is 1024326851. The next prime is 1024326881. The reversal of 1024326864 is 4686234201.

1024326864 is a `hidden beast` number, since 102 + 432 + 68 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 134092 + ... + 141524.

It is an arithmetic number, because the mean of its divisors is an integer number (20740860).

Almost surely, 2^1024326864 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 1024326864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659268800).

1024326864 is an abundant number, since it is smaller than the sum of its proper divisors (2294210736).

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

1024326864 is a wasteful number, since it uses less digits than its factorization.

1024326864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7490 (or 7478 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1024326864 is about 32005.1068425025. The cubic root of 1024326864 is about 1008.0440740366.

The spelling of 1024326864 in words is "one billion, twenty-four million, three hundred twenty-six thousand, eight hundred sixty-four".