11649924 has 144 divisors (see below), whose sum is σ = 36201984. Its totient is φ = 3110400.

The previous prime is 11649923. The next prime is 11649929. The reversal of 11649924 is 42994611.

It is a happy number.

11649924 is a `hidden beast` number, since 1 + 1 + 649 + 9 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (11649923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159552 + ... + 159624.

Almost surely, 2^11649924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11649924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18100992).

11649924 is an abundant number, since it is smaller than the sum of its proper divisors (24552060).

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

11649924 is a wasteful number, since it uses less digits than its factorization.

11649924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 133 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 11649924 is about 3413.1984999411. The cubic root of 11649924 is about 226.6945246422.

The spelling of 11649924 in words is "eleven million, six hundred forty-nine thousand, nine hundred twenty-four".