1864128 has 112 divisors (see below), whose sum is σ = 6014720. Its totient is φ = 497664.

The previous prime is 1864117. The next prime is 1864151. The reversal of 1864128 is 8214681.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×1864128³ = 19433384526256275456, which contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 1864095 and 1864104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25500 + ... + 25572.

2^1864128 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 1864128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007360).

1864128 is an abundant number, since it is smaller than the sum of its proper divisors (4150592).

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

1864128 is a wasteful number, since it uses less digits than its factorization.

1864128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 104 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 1864128 is about 1365.3307291642. The cubic root of 1864128 is about 123.0718068386.

It can be divided in two parts, 18 and 64128, that added together give a palindrome (64146).

The spelling of 1864128 in words is "one million, eight hundred sixty-four thousand, one hundred twenty-eight".