1903364064 has 576 divisors, whose sum is σ = 7170508800. Its totient is φ = 465813504.

The previous prime is 1903364063. The next prime is 1903364093. The reversal of 1903364064 is 4604633091.

1903364064 is a `hidden beast` number, since 1 + 9 + 0 + 3 + 3 + 640 + 6 + 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 not an unprimeable number, because it can be changed into a prime (1903364063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24093177 + ... + 24093255.

It is an arithmetic number, because the mean of its divisors is an integer number (12448800).

Almost surely, 2^1903364064 is an apocalyptic number.

1903364064 is a gapful number since it is divisible by the number (14) 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 1903364064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585254400).

1903364064 is an abundant number, since it is smaller than the sum of its proper divisors (5267144736).

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

1903364064 is a wasteful number, since it uses less digits than its factorization.

1903364064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 1903364064 is about 43627.5608302825. The cubic root of 1903364064 is about 1239.2928816104.

The spelling of 1903364064 in words is "one billion, nine hundred three million, three hundred sixty-four thousand, sixty-four".