1936640 has 72 divisors (see below), whose sum is σ = 4966920. Its totient is φ = 720896.

The previous prime is 1936637. The next prime is 1936643. The reversal of 1936640 is 466391.

It is an interprime number because it is at equal distance from previous prime (1936637) and next prime (1936643).

It can be written as a sum of positive squares in 4 ways, for example, as 173056 + 1763584 = 416^2 + 1328^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1936643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21716 + ... + 21804.

It is an arithmetic number, because the mean of its divisors is an integer number (68985).

2^1936640 is an apocalyptic number.

1936640 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 1936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483460).

1936640 is an abundant number, since it is smaller than the sum of its proper divisors (3030280).

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

1936640 is an equidigital number, since it uses as much as digits as its factorization.

1936640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 1936640 is about 1391.6321353001. The cubic root of 1936640 is about 124.6473259036.

The spelling of 1936640 in words is "one million, nine hundred thirty-six thousand, six hundred forty".