1968912 has 90 divisors (see below), whose sum is σ = 6110286. Its totient is φ = 591360.

The previous prime is 1968899. The next prime is 1968919. The reversal of 1968912 is 2198691.

It can be written as a sum of positive squares in only one way, i.e., 1115136 + 853776 = 1056^2 + 924^2 .

It is a super-2 number, since 2×1968912² = 7753228927488, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (1968919) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17368 + ... + 17480.

2^1968912 is an apocalyptic number.

1968912 is a gapful number since it is divisible by the number (12) 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 1968912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055143).

1968912 is an abundant number, since it is smaller than the sum of its proper divisors (4141374).

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

1968912 is a wasteful number, since it uses less digits than its factorization.

1968912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 129 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 1968912 is about 1403.1792472810. The cubic root of 1968912 is about 125.3358859698.

It can be divided in two parts, 19689 and 12, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 1968912 in words is "one million, nine hundred sixty-eight thousand, nine hundred twelve".