1642368 has 128 divisors (see below), whose sum is σ = 5483520. Its totient is φ = 423936.

The previous prime is 1642363. The next prime is 1642373. The reversal of 1642368 is 8632461.

It is an interprime number because it is at equal distance from previous prime (1642363) and next prime (1642373).

It is a tau number, because it is divible by the number of its divisors (128).

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

Its product of digits (6912) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1642363) 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, 34921 + ... + 34967.

It is an arithmetic number, because the mean of its divisors is an integer number (42840).

2^1642368 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 1642368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741760).

1642368 is an abundant number, since it is smaller than the sum of its proper divisors (3841152).

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

1642368 is a wasteful number, since it uses less digits than its factorization.

1642368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 72 counting only the distinct ones).

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

The square root of 1642368 is about 1281.5490626582. The cubic root of 1642368 is about 117.9841020428.

The spelling of 1642368 in words is "one million, six hundred forty-two thousand, three hundred sixty-eight".