11379200 has 120 divisors (see below), whose sum is σ = 32474112. Its totient is φ = 3870720.

The previous prime is 11379197. The next prime is 11379229. The reversal of 11379200 is 297311.

It is a nialpdrome in base 8.

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, 89537 + ... + 89663.

Almost surely, 2^11379200 is an apocalyptic number.

11379200 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 11379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16237056).

11379200 is an abundant number, since it is smaller than the sum of its proper divisors (21094912).

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

11379200 is an equidigital number, since it uses as much as digits as its factorization.

11379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 11379200 is about 3373.3069827693. The cubic root of 11379200 is about 224.9247484974.

The spelling of 11379200 in words is "eleven million, three hundred seventy-nine thousand, two hundred".