11739006 has 40 divisors (see below), whose sum is σ = 26501904. Its totient is φ = 3883680.

The previous prime is 11739001. The next prime is 11739031. The reversal of 11739006 is 60093711.

It is a super-3 number, since 3×11739006³ (a number of 22 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11739001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37591 + ... + 37901.

Almost surely, 2^11739006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11739006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13250952).

11739006 is an abundant number, since it is smaller than the sum of its proper divisors (14762898).

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

11739006 is a wasteful number, since it uses less digits than its factorization.

11739006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 11739006 is about 3426.2232851932. The cubic root of 11739006 is about 227.2708702200.

11739006 divided by its sum of digits (27) gives a triangular number (434778 = T₉₃₂).

The spelling of 11739006 in words is "eleven million, seven hundred thirty-nine thousand, six".