1857864064 has 64 divisors (see below), whose sum is σ = 4241894400. Its totient is φ = 793981440.

The previous prime is 1857864059. The next prime is 1857864083. The reversal of 1857864064 is 4604687581.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1857863999 and 1857864017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 336849 + ... + 342319.

It is an arithmetic number, because the mean of its divisors is an integer number (66279600).

Almost surely, 2^1857864064 is an apocalyptic number.

1857864064 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 1857864064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120947200).

1857864064 is an abundant number, since it is smaller than the sum of its proper divisors (2384030336).

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

1857864064 is an equidigital number, since it uses as much as digits as its factorization.

1857864064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5871 (or 5859 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The square root of 1857864064 is about 43102.9472774194. The cubic root of 1857864064 is about 1229.3380146829.

The spelling of 1857864064 in words is "one billion, eight hundred fifty-seven million, eight hundred sixty-four thousand, sixty-four".