11977632 has 60 divisors (see below), whose sum is σ = 35233506. Its totient is φ = 3991680.

The previous prime is 11977631. The next prime is 11977633. The reversal of 11977632 is 23677911.

It is a happy number.

11977632 is a `hidden beast` number, since 1 + 19 + 7 + 7 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (11977631) and next prime (11977633).

It can be written as a sum of positive squares in only one way, i.e., 10732176 + 1245456 = 3276^2 + 1116^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11977631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 282 + ... + 4902.

Almost surely, 2^11977632 is an apocalyptic number.

11977632 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 11977632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17616753).

11977632 is an abundant number, since it is smaller than the sum of its proper divisors (23255874).

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

11977632 is an equidigital number, since it uses as much as digits as its factorization.

11977632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4643 (or 4626 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 11977632 is about 3460.8715665277. The cubic root of 11977632 is about 228.8005102113.

The spelling of 11977632 in words is "eleven million, nine hundred seventy-seven thousand, six hundred thirty-two".