1937988 has 72 divisors (see below), whose sum is σ = 5457816. Its totient is φ = 576000.

The previous prime is 1937987. The next prime is 1937989. The reversal of 1937988 is 8897391.

It is an interprime number because it is at equal distance from previous prime (1937987) and next prime (1937989).

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 1855044 = 288^2 + 1362^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1937987) 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, 19138 + ... + 19238.

It is an arithmetic number, because the mean of its divisors is an integer number (75803).

2^1937988 is an apocalyptic number.

1937988 is a gapful number since it is divisible by the number (18) 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 1937988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728908).

1937988 is an abundant number, since it is smaller than the sum of its proper divisors (3519828).

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

1937988 is a wasteful number, since it uses less digits than its factorization.

1937988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 160 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 1937988 is about 1392.1163744458. The cubic root of 1937988 is about 124.6762394904.

The spelling of 1937988 in words is "one million, nine hundred thirty-seven thousand, nine hundred eighty-eight".