11461968 has 120 divisors (see below), whose sum is σ = 37372608. Its totient is φ = 3211776.

The previous prime is 11461963. The next prime is 11461979. The reversal of 11461968 is 86916411.

It is a happy number.

11461968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11461963) 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, 83596 + ... + 83732.

Almost surely, 2^11461968 is an apocalyptic number.

11461968 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 11461968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18686304).

11461968 is an abundant number, since it is smaller than the sum of its proper divisors (25910640).

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

11461968 is a wasteful number, since it uses less digits than its factorization.

11461968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 232 counting only the distinct ones).

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

The square root of 11461968 is about 3385.5528352102. The cubic root of 11461968 is about 225.4687708206.

The spelling of 11461968 in words is "eleven million, four hundred sixty-one thousand, nine hundred sixty-eight".