1820519064 has 384 divisors, whose sum is σ = 6472327680. Its totient is φ = 466560000.

The previous prime is 1820519059. The next prime is 1820519081. The reversal of 1820519064 is 4609150281.

1820519064 is a `hidden beast` number, since 1 + 82 + 0 + 519 + 0 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7252939 + ... + 7253189.

It is an arithmetic number, because the mean of its divisors is an integer number (16855020).

Almost surely, 2^1820519064 is an apocalyptic number.

1820519064 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 1820519064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236163840).

1820519064 is an abundant number, since it is smaller than the sum of its proper divisors (4651808616).

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

1820519064 is a wasteful number, since it uses less digits than its factorization.

1820519064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1820519064 is about 42667.5411056227. The cubic root of 1820519064 is about 1221.0452083787.

The spelling of 1820519064 in words is "one billion, eight hundred twenty million, five hundred nineteen thousand, sixty-four".