1938816 has 160 divisors (see below), whose sum is σ = 6664680. Its totient is φ = 552960.

The previous prime is 1938809. The next prime is 1938821. The reversal of 1938816 is 6188391.

1938816 = T₄₀ + T₄₁ + ... + T₂₂₆.

1938816 = 40³ + 41³ + ... + 56³.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (10368) is a multiple of the sum of its prime factors (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114040 + ... + 114056.

2^1938816 is an apocalyptic number.

1938816 is a gapful number since it is divisible by the number (16) 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 1938816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332340).

1938816 is an abundant number, since it is smaller than the sum of its proper divisors (4725864).

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

1938816 is a wasteful number, since it uses less digits than its factorization.

1938816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 33 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 1938816 is about 1392.4137316186. The cubic root of 1938816 is about 124.6939928215.

It can be divided in two parts, 193 and 8816, that added together give a palindrome (9009).

The spelling of 1938816 in words is "one million, nine hundred thirty-eight thousand, eight hundred sixteen".