11071632 has 80 divisors (see below), whose sum is σ = 33622848. Its totient is φ = 3095040.

The previous prime is 11071631. The next prime is 11071663. The reversal of 11071632 is 23617011.

It is a super-3 number, since 3×11071632³ (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11071599 and 11071608.

It is not an unprimeable number, because it can be changed into a prime (11071631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6058 + ... + 7670.

Almost surely, 2^11071632 is an apocalyptic number.

11071632 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 11071632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16811424).

11071632 is an abundant number, since it is smaller than the sum of its proper divisors (22551216).

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

11071632 is a wasteful number, since it uses less digits than its factorization.

11071632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 11071632 is about 3327.4061970249. The cubic root of 11071632 is about 222.8797168830.

Adding to 11071632 its reverse (23617011), we get a palindrome (34688643).

The spelling of 11071632 in words is "eleven million, seventy-one thousand, six hundred thirty-two".