11798400 has 96 divisors (see below), whose sum is σ = 38892600. Its totient is φ = 3143680.

The previous prime is 11798399. The next prime is 11798417. The reversal of 11798400 is 489711.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8986 + ... + 10214.

Almost surely, 2^11798400 is an apocalyptic number.

11798400 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 11798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19446300).

11798400 is an abundant number, since it is smaller than the sum of its proper divisors (27094200).

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

11798400 is a wasteful number, since it uses less digits than its factorization.

11798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 11798400 is about 3434.8799105646. The cubic root of 11798400 is about 227.6535211414.

The spelling of 11798400 in words is "eleven million, seven hundred ninety-eight thousand, four hundred".