1863642 has 48 divisors (see below), whose sum is σ = 4366656. Its totient is φ = 528000.

The previous prime is 1863637. The next prime is 1863647. The reversal of 1863642 is 2463681.

It is an interprime number because it is at equal distance from previous prime (1863637) and next prime (1863647).

It is not an unprimeable number, because it can be changed into a prime (1863647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12267 + ... + 12417.

It is an arithmetic number, because the mean of its divisors is an integer number (90972).

2^1863642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1863642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183328).

1863642 is an abundant number, since it is smaller than the sum of its proper divisors (2503014).

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

1863642 is a wasteful number, since it uses less digits than its factorization.

1863642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 184 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 1863642 is about 1365.1527387073. The cubic root of 1863642 is about 123.0611104886.

It can be divided in two parts, 186 and 3642, that added together give a triangular number (3828 = T₈₇).

The spelling of 1863642 in words is "one million, eight hundred sixty-three thousand, six hundred forty-two".