1886112 has 96 divisors (see below), whose sum is σ = 5745600. Its totient is φ = 601344.

The previous prime is 1886107. The next prime is 1886113. The reversal of 1886112 is 2116881.

It is a tau number, because it is divible by the number of its divisors (96).

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

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

It is not an unprimeable number, because it can be changed into a prime (1886113) 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, 31939 + ... + 31997.

It is an arithmetic number, because the mean of its divisors is an integer number (59850).

2^1886112 is an apocalyptic number.

1886112 is a gapful number since it is divisible by the number (12) 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 1886112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872800).

1886112 is an abundant number, since it is smaller than the sum of its proper divisors (3859488).

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

1886112 is a wasteful number, since it uses less digits than its factorization.

1886112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 1886112 is about 1373.3579285823. The cubic root of 1886112 is about 123.5537200662.

The spelling of 1886112 in words is "one million, eight hundred eighty-six thousand, one hundred twelve".