11696400 has 225 divisors, whose sum is σ = 44303061. Its totient is φ = 2954880.

The previous prime is 11696383. The next prime is 11696413. The reversal of 11696400 is 469611.

The square root of 11696400 is 3420.

It is a perfect power (a square), and thus also a powerful number.

11696400 is a `hidden beast` number, since 1 + 16 + 9 + 640 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4210704 + 7485696 = 2052^2 + 2736^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 615591 + ... + 615609.

Almost surely, 2^11696400 is an apocalyptic number.

11696400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11696400 is the 3420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11696400

11696400 is an abundant number, since it is smaller than the sum of its proper divisors (32606661).

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

11696400 is a wasteful number, since it uses less digits than its factorization.

11696400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The cubic root of 11696400 is about 226.9955816900.

Multiplying 11696400 by its product of nonzero digits (1296), we get a square (15158534400 = 123120²).

11696400 divided by its product of nonzero digits (1296) gives a square (9025 = 95²).

It can be divided in two parts, 1169 and 6400, that added together give a square (7569 = 87²).

The spelling of 11696400 in words is "eleven million, six hundred ninety-six thousand, four hundred".