11648633 has 16 divisors (see below), whose sum is σ = 12594960. Its totient is φ = 10752000.

The previous prime is 11648597. The next prime is 11648641. The reversal of 11648633 is 33684611.

It can be written as a sum of positive squares in 8 ways, for example, as 64 + 11648569 = 8^2 + 3413^2 .

It is a cyclic number.

It is not a de Polignac number, because 11648633 - 2¹⁰ = 11647609 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11648633.

It is not an unprimeable number, because it can be changed into a prime (11648933) 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, 115283 + ... + 115383.

It is an arithmetic number, because the mean of its divisors is an integer number (787185).

Almost surely, 2^11648633 is an apocalyptic number.

It is an amenable number.

11648633 is a deficient number, since it is larger than the sum of its proper divisors (946327).

11648633 is a wasteful number, since it uses less digits than its factorization.

11648633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268.

The product of its digits is 10368, while the sum is 32.

The square root of 11648633 is about 3413.0093759027. The cubic root of 11648633 is about 226.6861505262.

The spelling of 11648633 in words is "eleven million, six hundred forty-eight thousand, six hundred thirty-three".