1864080 has 80 divisors (see below), whose sum is σ = 6428160. Its totient is φ = 496512.

The previous prime is 1864069. The next prime is 1864087. The reversal of 1864080 is 804681.

1864080 is a `hidden beast` number, since 18 + 640 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1864087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1729 + ... + 2591.

It is an arithmetic number, because the mean of its divisors is an integer number (80352).

2^1864080 is an apocalyptic number.

1864080 is a gapful number since it is divisible by the number (10) 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 1864080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214080).

1864080 is an abundant number, since it is smaller than the sum of its proper divisors (4564080).

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

1864080 is a wasteful number, since it uses less digits than its factorization.

1864080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1864080 is about 1365.3131508925. The cubic root of 1864080 is about 123.0707504917.

The spelling of 1864080 in words is "one million, eight hundred sixty-four thousand, eighty".