11701632 has 64 divisors (see below), whose sum is σ = 32117760. Its totient is φ = 3770880.

The previous prime is 11701609. The next prime is 11701639. The reversal of 11701632 is 23610711.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 11701599 and 11701608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11701639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11413 + ... + 12395.

It is an arithmetic number, because the mean of its divisors is an integer number (501840).

Almost surely, 2^11701632 is an apocalyptic number.

11701632 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 11701632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16058880).

11701632 is an abundant number, since it is smaller than the sum of its proper divisors (20416128).

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

11701632 is an equidigital number, since it uses as much as digits as its factorization.

11701632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1019 counting only the distinct ones).

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

The square root of 11701632 is about 3420.7648267602. The cubic root of 11701632 is about 227.0294229814.

The spelling of 11701632 in words is "eleven million, seven hundred one thousand, six hundred thirty-two".