11965632 has 112 divisors (see below), whose sum is σ = 37551360. Its totient is φ = 3290112.

The previous prime is 11965627. The next prime is 11965643. The reversal of 11965632 is 23656911.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11965593 and 11965602.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38823 + ... + 39129.

It is an arithmetic number, because the mean of its divisors is an integer number (335280).

Almost surely, 2^11965632 is an apocalyptic number.

11965632 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 11965632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18775680).

11965632 is an abundant number, since it is smaller than the sum of its proper divisors (25585728).

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

11965632 is a wasteful number, since it uses less digits than its factorization.

11965632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 348 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 11965632 is about 3459.1374647446. The cubic root of 11965632 is about 228.7240754161.

The spelling of 11965632 in words is "eleven million, nine hundred sixty-five thousand, six hundred thirty-two".