1864226304 has 120 divisors (see below), whose sum is σ = 5472272520. Its totient is φ = 610787328.

The previous prime is 1864226297. The next prime is 1864226317. The reversal of 1864226304 is 4036224681.

1864226304 is a `hidden beast` number, since 1 + 8 + 642 + 2 + 6 + 3 + 0 + 4 = 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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268444 + ... + 275300.

It is an arithmetic number, because the mean of its divisors is an integer number (45602271).

Almost surely, 2^1864226304 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 1864226304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736136260).

1864226304 is an abundant number, since it is smaller than the sum of its proper divisors (3608046216).

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

1864226304 is an equidigital number, since it uses as much as digits as its factorization.

1864226304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6940 (or 6921 counting only the distinct ones).

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

The square root of 1864226304 is about 43176.6870428939. The cubic root of 1864226304 is about 1230.7397018044.

The spelling of 1864226304 in words is "one billion, eight hundred sixty-four million, two hundred twenty-six thousand, three hundred four".