11712624 has 80 divisors (see below), whose sum is σ = 37735680. Its totient is φ = 3041280.

The previous prime is 11712611. The next prime is 11712661. The reversal of 11712624 is 42621711.

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 junction number, because it is equal to n+sod(n) for n = 11712594 and 11712603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2112 + ... + 5280.

It is an arithmetic number, because the mean of its divisors is an integer number (471696).

Almost surely, 2^11712624 is an apocalyptic number.

11712624 is a gapful number since it is divisible by the number (14) 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 11712624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18867840).

11712624 is an abundant number, since it is smaller than the sum of its proper divisors (26023056).

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

11712624 is a wasteful number, since it uses less digits than its factorization.

11712624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198 (or 3192 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 11712624 is about 3422.3711078724. The cubic root of 11712624 is about 227.1004878960.

The spelling of 11712624 in words is "eleven million, seven hundred twelve thousand, six hundred twenty-four".