1801619064 has 576 divisors, whose sum is σ = 6719616000. Its totient is φ = 444165120.

The previous prime is 1801619063. The next prime is 1801619123. The reversal of 1801619064 is 4609161081.

It is a happy number.

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 (1801619063) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58116729 + ... + 58116759.

It is an arithmetic number, because the mean of its divisors is an integer number (11666000).

Almost surely, 2^1801619064 is an apocalyptic number.

1801619064 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 1801619064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359808000).

1801619064 is an abundant number, since it is smaller than the sum of its proper divisors (4917996936).

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

1801619064 is a wasteful number, since it uses less digits than its factorization.

1801619064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1801619064 is about 42445.4834346365. The cubic root of 1801619064 is about 1216.8050110862.

It can be divided in two parts, 180161 and 9064, that added together give a square (189225 = 435²).

The spelling of 1801619064 in words is "one billion, eight hundred one million, six hundred nineteen thousand, sixty-four".