2137968 has 120 divisors (see below), whose sum is σ = 7209360. Its totient is φ = 604800.

The previous prime is 2137963. The next prime is 2137969. The reversal of 2137968 is 8697312.

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.

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137963) 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, 21118 + ... + 21218.

It is an arithmetic number, because the mean of its divisors is an integer number (60078).

2^2137968 is an apocalyptic number.

2137968 is a gapful number since it is divisible by the number (28) 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 2137968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604680).

2137968 is an abundant number, since it is smaller than the sum of its proper divisors (5071392).

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

2137968 is a wasteful number, since it uses less digits than its factorization.

2137968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 2137968 is about 1462.1791955845. The cubic root of 2137968 is about 128.8250738834.

The spelling of 2137968 in words is "two million, one hundred thirty-seven thousand, nine hundred sixty-eight".