11342400 has 168 divisors, whose sum is σ = 39684960. Its totient is φ = 2826240.

The previous prime is 11342351. The next prime is 11342407. The reversal of 11342400 is 424311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 11342400.

It is not an unprimeable number, because it can be changed into a prime (11342407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81531 + ... + 81669.

It is an arithmetic number, because the mean of its divisors is an integer number (236220).

Almost surely, 2^11342400 is an apocalyptic number.

11342400 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 11342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19842480).

11342400 is an abundant number, since it is smaller than the sum of its proper divisors (28342560).

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

11342400 is a wasteful number, since it uses less digits than its factorization.

11342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 11342400 is about 3367.8479775667. The cubic root of 11342400 is about 224.6820199639.

Adding to 11342400 its reverse (424311), we get a palindrome (11766711).

The spelling of 11342400 in words is "eleven million, three hundred forty-two thousand, four hundred".