11641632 has 24 divisors (see below), whose sum is σ = 30559536. Its totient is φ = 3880512.

The previous prime is 11641621. The next prime is 11641639. The reversal of 11641632 is 23614611.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 not an unprimeable number, because it can be changed into a prime (11641639) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60538 + ... + 60729.

It is an arithmetic number, because the mean of its divisors is an integer number (1273314).

Almost surely, 2^11641632 is an apocalyptic number.

11641632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11641632 is an abundant number, since it is smaller than the sum of its proper divisors (18917904).

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

11641632 is a wasteful number, since it uses less digits than its factorization.

11641632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121280 (or 121272 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 11641632 is about 3411.9835872993. The cubic root of 11641632 is about 226.6407275200.

The spelling of 11641632 in words is "eleven million, six hundred forty-one thousand, six hundred thirty-two".