11746320 has 80 divisors (see below), whose sum is σ = 38568960. Its totient is φ = 2947072.

The previous prime is 11746291. The next prime is 11746327. The reversal of 11746320 is 2364711.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11746327) 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, 2641 + ... + 5519.

It is an arithmetic number, because the mean of its divisors is an integer number (482112).

Almost surely, 2^11746320 is an apocalyptic number.

11746320 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 11746320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284480).

11746320 is an abundant number, since it is smaller than the sum of its proper divisors (26822640).

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

11746320 is a wasteful number, since it uses less digits than its factorization.

11746320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 11746320 is about 3427.2904749962. The cubic root of 11746320 is about 227.3180608720.

The spelling of 11746320 in words is "eleven million, seven hundred forty-six thousand, three hundred twenty".