11334400 has 216 divisors, whose sum is σ = 36497664. Its totient is φ = 3379200.

The previous prime is 11334391. The next prime is 11334419. The reversal of 11334400 is 443311.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 492789 + ... + 492811.

Almost surely, 2^11334400 is an apocalyptic number.

11334400 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 11334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18248832).

11334400 is an abundant number, since it is smaller than the sum of its proper divisors (25163264).

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

11334400 is a wasteful number, since it uses less digits than its factorization.

11334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 11334400 is about 3366.6600660001. The cubic root of 11334400 is about 224.6291834414.

Adding to 11334400 its reverse (443311), we get a palindrome (11777711).

The spelling of 11334400 in words is "eleven million, three hundred thirty-four thousand, four hundred".