11632632 has 64 divisors (see below), whose sum is σ = 32054400. Its totient is φ = 3488640.

The previous prime is 11632631. The next prime is 11632633. The reversal of 11632632 is 23623611.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11632631) and next prime (11632633).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (11632631) 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, 36538 + ... + 36854.

It is an arithmetic number, because the mean of its divisors is an integer number (500850).

Almost surely, 2^11632632 is an apocalyptic number.

11632632 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 11632632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16027200).

11632632 is an abundant number, since it is smaller than the sum of its proper divisors (20421768).

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

11632632 is a wasteful number, since it uses less digits than its factorization.

11632632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 472 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 11632632 is about 3410.6644513936. The cubic root of 11632632 is about 226.5823080930.

The spelling of 11632632 in words is "eleven million, six hundred thirty-two thousand, six hundred thirty-two".