11842320 has 240 divisors, whose sum is σ = 45800640. Its totient is φ = 2515968.

The previous prime is 11842307. The next prime is 11842349. The reversal of 11842320 is 2324811.

11842320 = 305² + 306² + ... + 399².

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223414 + ... + 223466.

It is an arithmetic number, because the mean of its divisors is an integer number (190836).

Almost surely, 2^11842320 is an apocalyptic number.

11842320 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 11842320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22900320).

11842320 is an abundant number, since it is smaller than the sum of its proper divisors (33958320).

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

11842320 is a wasteful number, since it uses less digits than its factorization.

11842320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 11842320 is about 3441.2672084568. The cubic root of 11842320 is about 227.9356543568.

The spelling of 11842320 in words is "eleven million, eight hundred forty-two thousand, three hundred twenty".