11630400 has 84 divisors (see below), whose sum is σ = 38173152. Its totient is φ = 3100160.

The previous prime is 11630393. The next prime is 11630401. The reversal of 11630400 is 403611.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11630400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11630401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3589 + ... + 6011.

Almost surely, 2^11630400 is an apocalyptic number.

11630400 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 11630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19086576).

11630400 is an abundant number, since it is smaller than the sum of its proper divisors (26542752).

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

11630400 is a wasteful number, since it uses less digits than its factorization.

11630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 11630400 is about 3410.3372267270. The cubic root of 11630400 is about 226.5678154124.

The spelling of 11630400 in words is "eleven million, six hundred thirty thousand, four hundred".