11749320 has 256 divisors, whose sum is σ = 45619200. Its totient is φ = 2661120.

The previous prime is 11749307. The next prime is 11749333. The reversal of 11749320 is 2394711.

11749320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11749307) and next prime (11749333).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 273219 + ... + 273261.

It is an arithmetic number, because the mean of its divisors is an integer number (178200).

Almost surely, 2^11749320 is an apocalyptic number.

11749320 is a gapful number since it is divisible by the number (10) 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 11749320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22809600).

11749320 is an abundant number, since it is smaller than the sum of its proper divisors (33869880).

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

11749320 is a wasteful number, since it uses less digits than its factorization.

11749320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 11749320 is about 3427.7281105712. The cubic root of 11749320 is about 227.3374115036.

The spelling of 11749320 in words is "eleven million, seven hundred forty-nine thousand, three hundred twenty".